In the following exercises, graph by plotting points.

x+y=6

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=6

02

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

x+y=6

Subtract x on both side

x+y-x=6-xy=6-x

03

Step 3. Now the equation is y=6-xFinding the point by putting the values.

x=0x=1x=2y=6-xy=6-xy=6-xy=6-0y=6-1y=6-2y=6y=5y=4

Now the points are(0,6),(1,5),(2,4)

04

Step 4. Plot all points in a rectangular coordinate system.Plot the points (0,6), (1,5), (2,4)

05

Step 5. Draw the lines through the three points. 

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