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91Ó°ÊÓ

In the following exercises, graph by plotting points

y=-3x

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=-3x.................equation (1)

02

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

Whenx=0

y=-3×0=0

when x=1

y=-3×1y=-3

when x=-1

y=-3(-1)y=3

Now put three solutions in the table

xy(x,y)
00(0,0)
-13(-1,3)
1-3(1,-3)
03

Step 3. Plot these points in a rectangular coordinate system  

points(0,-3), (1,1) and (2,5) are plotted as

04

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

The line is the graph of y=-3x

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