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Chapter 3: Q.163 (page 291)

Find the equation of the line shown in each graph and write the equation in slope-intercept form.

Short Answer

Expert verified

Slope intercept of the line in the graph isy=3x-5.

Step by step solution

01

Step 1. Given information.

A graph is shown as follows.

02

Step 2. Find the slope and y-intercept of the line from the graph.

Choose two points on the graph that passes through the line to find the slope.

The intercept is 0,-5and graph passes through 1,-2.

Slope m=riserun.

Find slope as follows.

localid="1644385183396" m=-2--51-0m=31m=3

03

Step 3. Substitute the values into slope intercept form.

Slope intercept form is y=mx+b.

Substitute the values.

role="math" localid="1644330321675" y=mx+by=3x-5

Therefore, slope intercept of the line in the graph isy=3x-5.

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Most popular questions from this chapter

Graph the equationy=-32x+2by plotting the points.

Graph: f(x) = 3

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鈥搃ntercept form.

2x + 5y = 鈭�10, point (10, 4)

Find the intercepts of the graph

.

Graph: f(x) = 鈭�4x 鈭� 5
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