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Chapter 3: Q. 458 (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=2x+1.

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 1,3,0,1.

The slope between two points x1,y1,x2,y2is m=y2-y1x2-x1.

The point-slope from of the line equation that passes through the point x1,y1with slope misrole="math" localid="1646132732448" y-y1=mx-x1.

03

Step 3. Find the equation of the line.

Here, x1,y1=0,1,x2,y2=1,3.

Find the slope.

m=3-11-0m=2

Substitute m=2,x1=0,y1=1in y-y1=mx-x1.

y-1=2x-0y-1=2xy=2x+1

The line equation is y=2x+1.

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