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Chapter 4: Q. 403 (page 537)

In the following exercises, find the equation of the line shown in each graph. Write the equation in slope–intercept form.

Short Answer

Expert verified

The equation of the line in the slope-intercept form isy=-2x+4

Step by step solution

01

Step 1. Given Information

Given graph is

We have to find the equation of the line and we have to write it in the slope-intercept form.

02

Step 2. Finding the slope

Considering the graph, the line passes through the points (0,4);(2,0).

The slope of line (m) = riserun.

m=0-42-0⇒m=-42⇒m=-2

03

Step 3. Finding the equation of line

Equation of line using the point (0,4)and slope m=-2:

y-y1=m(x-x1)⇒y-4=-2(x-0)⇒y-4=-2x⇒y=-2x+4

Therefore the equation of the line in the slope-intercept form isy=-2x+4.

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