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Chapter 4: Q. 288 (page 519)

In the following exercises, use the graph to find the slope and y-intercept of each line. Compare the values to the equation y=mx+b.

y=3x-5

Short Answer

Expert verified

The slope of the line is m=3and the y-intercept is (0,-5).

Step by step solution

01

Step 1. Given information.

The given graph is:

The given equation is y=3x-5.

02

Step 2. Determine the slope and y-intercept from the graph.

Select any two points on the line. We'll use the points (0,-5)and (2,1). Here, the rise is 1-(-5)=6and run is 2-0=2.

m=RiseRun=62=3

The graph crosses the y-axis at (0,-5), so the y-intercept of the graph is (0,-5).

03

Step 3. Determine the slope and y-intercept from the equation.

On comparing y=3x-5and y=mx+b,

m=3b=-5

The slope is the same as the coefficient of x and the y-coordinate of the y-intercept is the same as the constant term.

04

Step 4. Conclusion.

The slope of the line is m=3and the y-intercept is (0,-5).

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