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91Ó°ÊÓ

In the following exercises, graph by plotting points

y=12x+3

Short Answer

Expert verified

The graph of the equation is:

Step by step solution

01

Step 1. Given Information

Equation to be plotted is

y=12x+3...............equation (1)

02

Step 2. To find three points whose coordinates are solution to the equation  

Whenx=0

y=12×0+3y=0+3y=3

whenx=-4

y=12-4)+3y=-2+3y=1

Whenx=2

y=12×2+3y=1+3y=4

Now arrange these points in a table

xy(x,y)
03(0,3)
24(2,4)
-41(-4,1)
03

Step 3. Plot these points in a rectangular coordinate system   

points(0,3), (-4,1) and (2,4) are plotted as

04

Step 4. Draw the line through three points and extend the line.   

The line is the graph of y=12x+3

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