Chapter 4: Q. 665 (page 572)

In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope–intercept form.
$y = - 5$ , point $(- 4, 3)$

Short Answer

Expert verified

The equation of the required line is $y = 3$ .

Step by step solution

Step 1. Given information.

Consider the given question,

Line $y = - 5$ , point $(- 4, 3)$

Step 2. Find the slope.

Slopes of parallel lines are equal. If $m_{1}, m_{2}$ are the slopes of two parallel lines then $m_{1} = m_{2}$ .

We know, the slope intercept form of the line is $y - y_{1} = m (x - x_{1}) . . . . . . (i)$ .

Compare the given line with equation (i),

$m = 0$

Substituting the values in equation (i),

$y - 3 = 0 \{x - (- 4)\} y - 3 = 0 y = 3$

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In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope–intercept form.
$y = - 5$ , point $(- 4, 3)$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find the slope.

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In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope–intercept form.y=-5, point-4,3

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find the slope.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Probability and Statistics

Pure Maths

Logic and Functions

Statistics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope–intercept form.
$y = - 5$ , point $(- 4, 3)$