Use the point NOT on the **line** to plot another point on the graph that would make a parallel **line**. 12. 13. 14. Use the point NOT on the **line** to plot another point on the graph that would make a **perpendicular line**. 15. 16. 17. To show that **two lines** are parallel, we need: m1 = m2 ( the **two lines have** the same slope) b1 != b2 (the **two lines have** different y-intercepts) Let’s look at some examples. Example 1: **Two Lines** That Are Parallel Consider the **two lines** 10x + 2y = 8 -15x – 3y = 6 We can solve both equation for y (to convert to slope-intercept form). .

Explanation: **Perpendicular lines have slopes** that are the opposite of the reciprocal of each other. In this case, the slope of the first **line** is -**2**. The reciprocal of -**2** is -1/**2**, so the opposite of the reciprocal is therefore 1/**2**. How do you know if **lines** are **perpendicular**?.

**Perpendicular lines** are **lines** that intersect at right angles. The slope of the **line** with equation y = 3 x + **2** is 3 . If you multiply the **slopes** of **two perpendicular lines**, you get − 1 . 3 ⋅ ( − 1 3) = − 1 So, the **line perpendicular** to y = 3 x + **2**. So, we could write this as the negative reciprocal of slope of M. Negative reciprocal of M's slope. And there you **have** it. We've just shown that if we assume L and M are **perpendicular**, and.

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**Perpendicular lines have slopes** that are the opposite of the reciprocal of each other. In this case, the slope of the first **line** is -**2**. The reciprocal of -**2** is -1/**2**, so the opposite of the reciprocal is therefore 1/**2**. Can **2 lines** with negative **slopes** be **perpendicular**?. What is the formula for finding **perpendicular** **slope**? **Perpendicular** **lines** **have** opposite-reciprocal **slopes**, so the **slope** of the **line** we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the **line** is y = ½x + 6. Rearranged, it is -x/2 + y = 6. Use the point NOT on the **line** to plot another point on the graph that would make a parallel **line**. 12. 13. 14. Use the point NOT on the **line** to plot another point on the graph that would make a **perpendicular line**. 15. 16. 17. The **slopes** of the **lines** are the same and they **have** different y-intercepts, so they are not the same **line** and they are parallel. **Two** non-vertical **lines** are **perpendicular** if the slope of one is the negative reciprocal of the slope of the other. Jul 20, 2017 · **Two** **lines** are **perpendicular** if and only if their **slopes** are negative reciprocals of each other. That is, if the **slopes** are m1 and m2, then: m1 = - 1/m2 or (m1) (m2) = -1 How can you....

To show that **two lines** are parallel, we need: m1 = m2 ( the **two lines have** the same slope) b1 != b2 (the **two lines have** different y-intercepts) Let’s look at some examples. Example 1: **Two Lines** That Are Parallel Consider the **two lines** 10x + 2y = 8 -15x – 3y = 6 We can solve both equation for y (to convert to slope-intercept form). Explanation: **Perpendicular lines have slopes** that are the opposite of the reciprocal of each other. In this case, the slope of the first **line** is -**2**. The reciprocal of -**2** is -1/**2**, so the opposite of the reciprocal is therefore 1/**2**. Can **2** points be coplanar?.

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To see whether or not **two lines** are parallel we must compare their **slopes**. **Two lines** are parallel if and only if their **slopes** are equal. The **line** 2x – 3y = 4 is in standard form. In general a **line** in the form Ax + By = C has a slope of –A/B therefore the slope of **line** q must be –**2**/–3 = **2**/3. Can a pair of **lines** be parallel and **perpendicular**?.

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The **slopes** of the **lines** are the same and they **have** different y-intercepts, so they are not the same **line** and they are parallel. **Perpendicular Lines**. **Two** non-vertical **lines** are.

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Explanation: **Perpendicular lines have slopes** that are the opposite of the reciprocal of each other. In this case, the slope of the first **line** is -**2**. The reciprocal of -**2** is -1/**2**, so the opposite of the reciprocal is therefore 1/**2**. How do you know if **lines** are **perpendicular**?. Score: 4.9/5 (18 votes) . In other words, the **slopes** of parallel **lines** are equal.Note that **two lines** are parallel if their **slopes** are equal and they **have** different y-intercepts. In other words, **perpendicular slopes** are negative reciprocals of each other. **Perpendicular lines Lines** that **have** opposite reciprocal **slopes**. are **two** or more **lines** that intersect at a `90`-degree angle, like the **two lines** drawn on this graph, and the `x` - and `y`.

The **slopes** of **two perpendicular lines** are negative reciprocals of each other. This means that if a **line** is **perpendicular** to a **line** that has slope m, then the slope of the **line** is -1 / m. Why is **perpendicular line** negative reciprocal? **Perpendicular lines** form right angles. If **two lines** are **perpendicular**, the **slopes** are negative reciprocals. The axioms for Euclidean geometry include: **Two lines** meet at a point or are parallel. Amongst those pairs of **lines** which meet, some are **perpendicular**. If **lines** l and n are not vertical, then they are parallel if and only if they **have** the same gradient m=tanθ. Clearly, **two** horizontal **lines** are parallel. Find Intersection Point of **Perpendicular** **Lines**: To find the intersection points between **two** **lines**, first identify a point with coordinates \((x_j,y_j)\) which, lies on each of the **two** **lines**. When we found **two** **perpendicular** **lines**: y = 3x – 6 and y = – 0.334x + 9.67. Then, these **two** equations form the equations with **two** unknowns.. Statement: **Two** **lines** **are** **perpendicular** to each other if and only if the product of the **slope** of the **two** **lines** equals minus of unity. Thus, the formula for the **slope** of the **perpendicular** is given as: m1.m2 = -1 In the case of the parallel **line**, the **slope** of the **two** **lines** is parallel to each other. m1 = m2 Construction of **Perpendicular** **Lines**. The slope of the first **line** is 3/4 and the slope of the second **line** is 4/3. These **slopes** are reciprocals of each other, but not negative reciprocals. In order to be. The **slopes** of **two perpendicular lines** are negative reciprocals of each other. This means that if a **line** is **perpendicular** to a **line** that has slope m, then the slope of the **line** is -1 / m. Why is **perpendicular line** negative reciprocal? **Perpendicular lines** form right angles. If **two lines** are **perpendicular**, the **slopes** are negative reciprocals. The slope of the first **line** is 3/4 and the slope of the second **line** is 4/3. These **slopes** are reciprocals of each other, but not negative reciprocals. In order to be.

Problem 128 Hard Difficulty Prove that if **two** nonvertical **lines have slopes** whose product is − 1 then the **lines** are **perpendicular**. [Hint: Refer to Figure 47 and use the converse of the Pythagorean Theorem.] Video Answer: Ahmad R. Numerade Educator Like View Text Answer Jump To Question Answer See Answer for Free Discussion.

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Statement:** Two lines are perpendicular** to each other if and only if the product of the** slope** of the** two lines** equals minus of unity. Thus, the formula for the** slope of** the** perpendicular is** given as: m1.m2 = -1. In the case of the parallel.

Explanation: **Perpendicular lines have slopes** that are the opposite of the reciprocal of each other. In this case, the slope of the first **line** is -**2**. The reciprocal of -**2** is -1/**2**, so the opposite of. Trinomials of the Form x^**2** + bx + c. Quiz: Trinomials of the Form x^**2** + bx + c. Trinomials of the Form ax^**2** + bx + c. Quiz: Trinomials of the Form ax^**2** + bx + c. Square Trinomials. Quiz: Square Trinomials. Factoring by Regrouping. Quiz: Factoring by Regrouping.. "/>.

**Perpendicular lines have slopes** that are the opposite of the reciprocal of each other. In this case, the slope of the first **line** is -**2**. The reciprocal of -**2** is -1/**2**, so the opposite of the reciprocal is therefore 1/**2**. Can **2 lines** with negative **slopes** be **perpendicular**?.

Parallel **Lines**: The **lines** are parallel if their **slopes** are equal or the same. That means Equal **Slopes**: Graph: **Perpendicular** **Lines**: The **lines** are **perpendicular** if their **slopes** are opposite reciprocals of each other. Or, if we multiply their **slopes** together, we get a product of - \,1 −1 . These **lines** intersect at a ninety-degree angle, 90°..

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Explain why **perpendicular lines** (that are not horizontal and vertical) **have slopes** whose product isa) Negative, andLet the **two lines** in a plane be , y=mx+b and y=nx+cThese. Find Intersection Point of **Perpendicular** **Lines**: To find the intersection points between **two** **lines**, first identify a point with coordinates \((x_j,y_j)\) which, lies on each of the **two** **lines**. When we found **two** **perpendicular** **lines**: y = 3x – 6 and y = – 0.334x + 9.67. Then, these **two** equations form the equations with **two** unknowns..

In **analytic geometry**, also known as coordinate geometry, we think about geometric objects on the coordinate plane. For example, we can see that opposite sides of a parallelogram are parallel by writing a linear equation for each side and seeing that the **slopes** are the same.. To see whether or not **two lines** are parallel we must compare their **slopes**. **Two lines** are parallel if and only if their **slopes** are equal. The **line** 2x – 3y = 4 is in standard form. In general a **line** in the form Ax + By = C has a slope of –A/B therefore the slope of **line** q must be –**2**/–3 = **2**/3. Can a pair of **lines** be parallel and **perpendicular**?.

A **perpendicular** is a straight **line** that makes an angle of 90 ° with another **line**. 90 ° is also called a right angle and is marked by a little square between **two perpendicular lines** as shown in the figure. Here, the **two lines** intersect at a right angle, and hence, are said to be **perpendicular** to each other. So, we could write this as the negative reciprocal of slope of M. Negative reciprocal of M's slope. And there you **have** it. We've just shown that if we assume L and M are **perpendicular**, and.

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**Are** the following **two** **lines** **perpendicular**: and Possible Answers: Correct answer: Explanation: For **two** **lines** to be **perpendicular** they **have** to **have** **slopes** **that** multiply to get . The **slope** is found from the in the general equation: . For the first **line**, and for the second . and so the **lines** **are** not **perpendicular**. Report an Error.

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Explanation: **Perpendicular lines have slopes** that are the opposite of the reciprocal of each other. In this case, the slope of the first **line** is -**2**. The reciprocal of -**2** is -1/**2**, so the opposite of the reciprocal is therefore 1/**2**. Can **2** points be coplanar?. If **two lines** are **perpendicular**, their **slopes** are negative reciprocals. **2** See answers Advertisement carlosego For this case we **have** by definition, that if **two lines** are. **Perpendicular lines have** opposite-reciprocal **slopes** so the slope of the **line** we want to find is 1/**2**. Plugging in the point given into the equation y = 1/2x + b and solving for b.

Use the point NOT on the **line** to plot another point on the graph that would make a parallel **line**. 12. 13. 14. Use the point NOT on the **line** to plot another point on the graph that would make a **perpendicular line**. 15. 16. 17. VIDEO ANSWER:the first thing you want to do when considering this problem is, don't even pay attention to be X and y axis. We don't need that. Don't use it and just assume that P it's our point of origin or this is where it 00 is located. And so this will help us. Because then it becomes really obvious that Q is located at the 0.1 Because we changed the origin for Peter B 00 then the. Parallel **lines have slopes** that are the same. All of the **lines** shown in the graph are parallel because they **have** the same slope and different y- intercepts. **Lines that are perpendicular** intersect to form a 90∘ angle. The slope of one **line** is the negative reciprocal of the other. We can show that **two lines** are **perpendicular** if the product of.

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4 Proofs with **Perpendicular** **Lines** 3.**Two** **lines** will be **perpendicular** if the product of their gradients is -1 **Lines** a and c are **perpendicular** 5 **Slopes** of parallel and **perpendicular** **lines** worksheet 4 answers 148 - 150 (#2-13, 18-25, 27-29, 35-40) Completed: Chapter 3 section 2: Angles formed by Parallel **Lines** and Transversals 3 148 - 150 (#2-13.. http://www.mathmeetsyou.com/. Lit Farms - Sundae Fundae $ 150.00. Sundae Fundae - 12 Regular Seeds Per Pack Lineage: Sundae Driver x Fleetwood Mac #100 Family: Indica Dominant Hybrid Flowering Time: 60+ days Add to wishlist. Add to cart. Quick view. Compare Close. Lit Farms - Landslide $ 150.00.

The **slopes** of **two perpendicular lines** are negative reciprocals of each other. This means that if a **line** is **perpendicular** to a **line** that has slope m, then the slope of the **line** is -1 / m. For example, we found that the slope of the **line** y = (1/**2**)x + 3 is 1/**2**. New York is fun and all, but not one of the warm places to visit in December. The temperatures gradually become colder toward the end of the month, with the average temperature of 43F (6C) during the day and 32F (0C) at night. People expect a white Christmas during this time, but it’s unlikely to happen. Explanation: If the **slopes** of **two lines** can be calculated, an easy way to determine whether they are **perpendicular** is to multiply their **slopes**. If the product of the **slopes** is , then the **lines**. A **perpendicular** is a straight **line** that makes an angle of 90 ° with another **line**. 90 ° is also called a right angle and is marked by a little square between **two perpendicular lines** as shown in the figure. Here, the **two lines** intersect at a right angle, and hence, are said to be **perpendicular** to each other.

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Given : **Two lines** are **perpendicular** to each other having their **slopes** m1 and m2. To Find: m1. m2. Step-by-step explanation: Let us take we **have** a **line** that is where we **have**. To see whether or not **two lines** are parallel, we must compare their **slopes**. **Two lines** are parallel if and only if their **slopes** are equal. The **line** 2x – 3y = 4 is in standard form.. Horizontal **lines have** a slope of zero, and the slope of vertical **lines** is undefined. Parallel **lines have** equal **slopes**, and **perpendicular lines have slopes** that are negative. So **perpendicular lines have slopes** which **have** opposite signs. How do you prove that **two lines** are **perpendicular** using slope? Explanation: If the **slopes** of **two lines** can be calculated, an easy way to determine whether they are **perpendicular** is to multiply their **slopes**. If the product of the **slopes** is , then the **lines** are **perpendicular**.

In other words, the **slopes** of **two perpendicular lines** are negative reciprocals of each other. A vertical **line** has infinite slope and is **perpendicular** to only horizontal **lines** (which **have** slope 0). Given the equations of **two lines**, this gives a method to test whether the.

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We see that both **line** 1 and **line 2 have** slope -**2**/7. Therefore, the **lines** are parallel. **Slopes** of **Perpendicular Lines Perpendicular lines** are **lines** that create 90 degree.

What is the slope of a **line perpendicular** to the **line** with a slope of 3 5? So the slope **perpendicular** to 3/5 is -5/3. **Perpendicular lines have** negative reciprocal **slopes**. That means the fraction is flipped and multiplied by negative 1. So if one **line** has a slope of 3/5, then a **line perpendicular** to it has a slope of -5/3.

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Use the point NOT on the **line** to plot another point on the graph that would make a parallel **line**. 12. 13. 14. Use the point NOT on the **line** to plot another point on the graph that would make a **perpendicular line**. 15. 16. 17. The same **two** points on the rotated **line** **have** rise b and run (-a), so the **slope** of the rotated **line** is -b/a. Thus the product of the **slopes**, for the **two** **perpendicular** **lines**, is (a/b)* (-b/a) = -1. Since translation preserves angle we consider **two** **perpendicular** straight **lines** with **slopes** m > 0 and n through the origin. **Perpendicular** **lines** **have** **slopes** **that** **are** the opposite of the reciprocal of each other. In this case, the **slope** of the first **line** is -2. The reciprocal of -2 is -1/2, so the opposite of the reciprocal is therefore 1/2. ... The **slope** of **two** **perpendicular** **lines** must be in negative reciprocal relationship, if the **slopes** of **two** **lines** **are** negative. In **analytic geometry**, also known as coordinate geometry, we think about geometric objects on the coordinate plane. For example, we can see that opposite sides of a parallelogram are parallel by writing a linear equation for each side and seeing that the **slopes** are the same.. Geometry Unit **2** - Parallel & **Perpendicular Lines** Page 120 EXAMPLE 5: Based on your conclusion from Example 4, fill in the chart below. SLOPE OF A **LINE** SLOPE FOR A PARALLEL **LINE** SLOPE FOR A **PERPENDICULAR LINE** 3 **2**-4 4 1 **2** 0 . EXAMPLE 6: Find the **slopes** of the following **lines** to determine if the **lines** are parallel . Slope of **line** a. So **perpendicular lines have slopes** which **have** opposite signs. How do you prove that **two lines** are **perpendicular** using slope? Explanation: If the **slopes** of **two lines** can be calculated, an easy way to determine whether they are **perpendicular** is to multiply their **slopes**. If the product of the **slopes** is , then the **lines** are **perpendicular**. Geometry Unit **2** - Parallel & **Perpendicular Lines** Page 120 EXAMPLE 5: Based on your conclusion from Example 4, fill in the chart below. SLOPE OF A **LINE** SLOPE FOR A PARALLEL **LINE** SLOPE FOR A **PERPENDICULAR LINE** 3 **2**-4 4 1 **2** 0 . EXAMPLE 6: Find the **slopes** of the following **lines** to determine if the **lines** are parallel . Slope of **line** a. A **perpendicular** is a straight **line** that makes an angle of 90 ° with another **line**. 90 ° is also called a right angle and is marked by a little square between **two perpendicular lines** as shown in the figure. Here, the **two lines** intersect at a right angle, and hence, are said to be **perpendicular** to each other.

Answer (1 of 2): I am not sure of what you are asking. If you mean to ask what is the relationship between the **slopes** of **perpendicular** **lines**, then if a **line** has a **slope** of x, then its **perpendicular** has a **slope** of -1/x, that is, the **perpendicular** **slope** is the negative reciprocal of the original l....

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A **perpendicular** is a straight **line** that makes an angle of 90 ° with another **line**. 90 ° is also called a right angle and is marked by a little square between **two perpendicular lines** as shown in the figure. Here, the **two lines** intersect at a right angle, and hence, are said to be **perpendicular** to each other. The **slopes** of **two** **perpendicular** **lines** **are** negative reciprocals of each other. This means that if a **line** is **perpendicular** to a **line** **that** has **slope** m, then the **slope** of the **line** is -1 / m. Can **two** **lines** be **perpendicular**? Explanation: **Two** **lines** **are** **perpendicular** if and only if their **slopes** **are** negative reciprocals. To find the **slope**, we must put. Statement: **Two** **lines** **are** **perpendicular** to each other if and only if the product of the **slope** of the **two** **lines** equals minus of unity. Thus, the formula for the **slope** of the **perpendicular** is given as: m1.m2 = -1 In the case of the parallel **line**, the **slope** of the **two** **lines** is parallel to each other. m1 = m2 Construction of **Perpendicular** **Lines**. Explanation: **Perpendicular lines have slopes** that are the opposite of the reciprocal of each other. In this case, the slope of the first **line** is -**2**. The reciprocal of -**2** is -1/**2**, so the opposite of the reciprocal is therefore 1/**2**. Can **2** points be coplanar?. Note that **two lines** are parallel if their **slopes** are equal and they **have** different y-intercepts. In. Can parallel **lines have** negative **slopes**? Asked by: Lucie Reichel. Score: 4.9/5 (18 votes) ... If **two lines** are **perpendicular** and neither one is vertical, then one of the **lines** has a positive slope, and the other has a negative slope. Also, the. How to find out if **two** **lines** **are** parallel? Write each equation in the **slope**-intercept form by solving for ; the -coefficient is the **slope** of the **line**. The **line** of this equation has **slope** . The **line** of this equation has **slope** . **Two** **lines** **are** parallel if and only if they have the same **slope**; this is not the case. User note: About this chapter: Chapter 3 contains a wide array of building planning requirements **that are **critical to designing a safe and usable building. This includes, but is not limited to, requirements related to: general structural design, fire-resistant construction, light, ventilation, sanitation, plumbing fixture clearances, minimum room area and ceiling height, safety glazing, means .... For **two** **lines** **that are perpendicular** and **have** **slopes**, the **slope** of one is inversely proportional to the **slope** of the other. Expert Answer For **two** **lines** **that are perpendicular** with non-zero **slopes** the slop View the full answer Previous question Next question Get more help from Chegg Solve it with our calculus problem solver and calculator.

The **slopes** of **two** **perpendicular** **lines** **are** negative reciprocals of each other. This means that if a **line** is **perpendicular** to a **line** **that** has **slope** m, then the **slope** of the **line** is -1 / m. Can **two** **lines** be **perpendicular**? Explanation: **Two** **lines** **are** **perpendicular** if and only if their **slopes** **are** negative reciprocals. To find the **slope**, we must put.

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**Perpendicular** **lines** **are** **lines** **that** intersect at right angles. The **slope** of the **line** with equation y = 3 x + 2 is 3 . If you multiply the **slopes** of **two** **perpendicular** **lines**, you get − 1 . 3 ⋅ ( − 1 3) = − 1 So, the **line** **perpendicular** to y = 3 x + 2 has the **slope** − 1 3 . Now use the point-**slope** form to find the equation. y − y 1 = m ( x − x 1). For **two** **lines** **that** **are** **perpendicular** and **have** **slopes**, the **slope** of one is inversely proportional to the **slope** of the other. Expert Answer For **two** **lines** **that** **are** **perpendicular** with non-zero **slopes** the slop View the full answer Previous question Next question Get more help from Chegg Solve it with our calculus problem solver and calculator.

Horizontal **lines have** a slope of zero, and the slope of vertical **lines** is undefined. Parallel **lines have** equal **slopes**, and **perpendicular lines have slopes** that are negative. Explanation: **Perpendicular lines have slopes** that are the opposite of the reciprocal of each other. In this case, the slope of the first **line** is -**2**. The reciprocal of -**2** is -1/**2**, so the opposite of the reciprocal is therefore 1/**2**. Can **2** points be coplanar?.

VIDEO ANSWER: all right, we are to construct a proportional relationship. An equation 42 **lines that are perpendicular** to each other. Now, it actually says that Ah, that **have slopes**. The reason for that is that a ve. Download the App! Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite. .

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These **Parallel and Perpendicular Lines** Worksheets will give the **slopes** of **two** **lines** and ask the student if the **lines** are parallel, **perpendicular**, or neither. These worksheets will produce 10 problems per page. Given Slope of a Line Find **Slopes** for **Parallel and Perpendicular Lines** Worksheets.

Horizontal **lines have** a slope of zero, and the slope of vertical **lines** is undefined. Parallel **lines have** equal **slopes**, and **perpendicular lines have slopes** that are negative.

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slopesof thelinesare the same and theyhavedifferent y-intercepts, so they are not the samelineand they are parallel.Perpendicular Lines.Twonon-verticallinesare. The axioms for Euclidean geometry include:Two linesmeet at a point or are parallel. Amongst those pairs oflineswhich meet, some areperpendicular. Iflinesl and n are not vertical, then they are parallel if and only if theyhavethe same gradient m=tanθ. Clearly,twohorizontallinesare parallel. Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.. To prove thesetwolinesare parallel, all wehaveto do is calculate theirslopeand verify thoseslopesare the same. We see that bothline1 andline2haveslope-2/7..... Aug 18, 2020 ·Perpendicularlineswillhaveslopesthat are negative reciprocals of one another. Our first step will be to find theslopeof the givenlineby putting the equation intoslope-intercept form. Theslopeof thislineis . How to find the equation of theperpendicularbisector oftwopoints? The y-intercept is where thelineintersects the y-axis..