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In the following exercises, graph by plotting points.

x−y=−3

Short Answer

Expert verified

The graph of the equation is

Step by step solution

01

Step 1. Given Information 

In the given exercises we have to graph by plotting points.

x−y=−3

02

Step 2. Find three points that are solutions to the equation.First, solve the equation for y.

x−y=−3

Subtract x on both side

role="math" localid="1647618534565" x−y-x=-3-x−y=-3-x

Multiply with(-1)on both side

role="math" localid="1647618547760" −y×(−1)=(−1)-3-xy=3+x

03

Step 3. Now the equation is y=3+xFinding the point by putting the values.

x=0x=1x=2y=3+xy=3+xy=3+xy=3+0y=3+1y=3+2y=3y=4y=5

Now the points are(0,3),(1,4),(2,5)

04

Step 4. Plot all points in a rectangular coordinate system.Plot the points (0,3), (1, 4), (2,5)

05

Step 5. Draw the lines through the three points. 

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