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Chapter 3: Q 158. (page 291)

In the following exercises, find the equation of a line with given slope and y-intercept. Write the equation in slope-intercept form.

Slope-1andy-intercept(0,3)

Short Answer

Expert verified

The equation in slope-intercept form isy=-x+3.

Step by step solution

01

Step 1. Use the slope-intercept form.

The slope-intercept form is:

y=mx+b

The given slope (m)=-1

The given y-intercept is (0,3).

02

Step 2. Substitute values into slope-intercept form.

y=mx+by=(-1)x+3y=-x+3

The equation of the line in slope-intercept form, with slope -1and y-intercept(0,3), isy=-x+3.

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