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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

Explain in your own words why the slopes of two perpendicular lines must have opposite signs.

Find the slope of the liney=7.

In the following exercises, graph by plotting points.

y=x+2

Janelle is planning to rent a car while on vacation. The equation C=0.32m+15models the relation between the cost in dollars, C, per day and the number of miles, m , she drives in one day.

(a) Find the cost if Janelle drives the car 0 miles one day.

(b) Find the cost if Janelle drives the car 400 miles one day.

(c) Interpret the slope and C-intercept of the equation.

(d) Graph the equation.

Graph: f(x) = 鈭�4x 鈭� 5
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