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 xon both side

x+y-x=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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