Chapter 4: Q. 497 (page 540)

In the following exercises, find the equation of each line. Write the equation in slope–intercept form.
Containing the points $(- 5, - 3) and (4, - 6)$

Short Answer

Expert verified

The equation of the line is $y = - \frac{1}{3} x - 6$ .

Step by step solution

Step 1. Given Information

We are given the points $(- 5, - 3) and (4, - 6)$ .

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

Step 2. Finding the slope

The slope of the line is given by,

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} m = \frac{- 6 - (- 3)}{4 - (- 5)} = \frac{- 3}{9} = - \frac{1}{3}$

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

The point slope form of the line is given by,

$(y - y_{1}) = m (x - x_{1}) y - (- 5) = - \frac{1}{3} (x - (- 3)) y + 5 = - \frac{1}{3} x - 1 y = - \frac{1}{3} x - 1 - 5 y = - \frac{1}{3} x - 6$

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In the following exercises, find the equation of each line. Write the equation in slope–intercept form.
Containing the points $(- 5, - 3) and (4, - 6)$

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.Containing the points(-5,-3)and(4,-6)

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

Discrete Mathematics

Geometry

Calculus

Pure Maths

Logic and Functions

Statistics

Study anywhere. Anytime. Across all devices.

In the following exercises, find the equation of each line. Write the equation in slope–intercept form.
Containing the points $(- 5, - 3) and (4, - 6)$