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Chapter 4: Q. 4.79 (page 499)

Use the graph to find the slope and y-intercept of the line y=23x鈭�1. Compare these values to the equationy=mx+b.

Short Answer

Expert verified

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.

Step by step solution

01

Step 1. Given information.

given equation,

y=23x-1,y=mx+b

02

Step 2. To find the slope of the line, we need to choose two points on the line. We’ll use the points (0,-1) and (3,1)

Find the rise and run,

m=riserunm=23

03

Step 3. Find the y-intercept of the line,

The y-intercept is the point (0,-1)

Now, we found the slope m=23and y-intercept (0,-1)

localid="1653588516018" y=23x-1y=mx+b

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.

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