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Chapter 3: Q.460 (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=34x-2.

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 0,-2,4,1.

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

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

03

Step 3. Find the equation of the line.

Here, x1,y1=0,-2,x2,y2=4,1.

Find the slope.

m=1--24-0m=34

Substitute m=34,x1=0,y1=-2in y-y1=mx-x1.

y--2=34x-0y+2=34xy=34x-2

The line equation isy=34x-2.

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