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Chapter 4: Q. 290 (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=-x+4

Short Answer

Expert verified

The slope of the line is m=-1and the y-intercept is (0,4).

Step by step solution

01

Step 1. Given information.

The given graph is:

The given equation is y=-x+4.

02

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

Select any two points on the line. We'll use the points (0,4)and (4,0). Here, rise is 0-4=-4and run is 4-0=4.

m=RiseRun=-44=-1

The graph crosses the y-axis at (0,4), so the y-intercept of the graph is (0,4).

03

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

On comparing y=-x+4and y=mx+b,

m=-1b=4

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=-1and the y-intercept is (0,4).

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