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Chapter 3: Q.461 (page 357)

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 slope-intercept form of the equation of the line in the shown graph isy=-4ory=0x-4.

Step by step solution

01

Step 1. Given information:

The provided graph of a line equation is:

02

Step 2. Evaluate/formulas 

From the graph, take two points that lie on the line are say 4,-4,0,-4.

The point-slope form of the line equation that passes through the pointx1,y1with slopemisy-y1=mx-x1.

03

Step 3. Find the equation of the line.

Here, x1,y1=0,-4,x2,y2=4,-4.

Find slope.

m=y2-y1x2-x1=-4--44-0=04=0

Substitute m=0,x1=0,y1=-4in y-y1=mx-x1.

y--4=0x-0y+4=0y=-4

The line equation isy=-4.

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