Chapter 4: Q. 498 (page 540)

In the following exercises, find the equation of each line. Write the equation in slope–intercept form.
Perpendicular to the line $x - 2 y = 5$ , Containing the point role="math" localid="1647510827042" $(- 2, 2)$ .

Short Answer

Expert verified

The equation of the line is $y = - 2 x - 2$ .

Step by step solution

Step 1. Given Information

We are given a line with equation $x - 2 y = 5$ the point $(- 2, 2)$ .

We have to find the slope-intercept form of the line containing the points.

Step 2. Finding the slope

Writing the given equation in slope intercept form, we get

$x - 2 y = 5 - 2 y = - x + 5 y = \frac{1}{2} x - \frac{5}{2}$

The slope is $m = \frac{1}{2}$ ,

The slope of the perpendicular lines is negative reciprocals so

$m' = \frac{- 1}{\frac{1}{2}} m' = - 2$

Step 3. Finding the slope-intercept form of the line

The slope-intercept form of the line is given by,

$(y - y_{1}) = m (x - x_{1}) y - 2 = - 2 (x + 2) y - 2 = - 2 x - 4 y = - 2 x - 4 + 2 y = - 2 x - 2$

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In the following exercises, find the equation of each line. Write the equation in slope–intercept form.
Perpendicular to the line $x - 2 y = 5$ , Containing the point role="math" localid="1647510827042" $(- 2, 2)$ .

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Finding the slope

Step 3. Finding the slope-intercept form of the line

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In the following exercises, find the equation of each line. Write the equation in slope–intercept form.Perpendicular to the line x-2y=5, Containing the point role="math" localid="1647510827042" -2,2.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Finding the slope

Step 3. Finding the slope-intercept form of the line

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Statistics

Discrete Mathematics

Logic and Functions

Mechanics Maths

Geometry

Study anywhere. Anytime. Across all devices.

In the following exercises, find the equation of each line. Write the equation in slope–intercept form.
Perpendicular to the line $x - 2 y = 5$ , Containing the point role="math" localid="1647510827042" $(- 2, 2)$ .