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Chapter 4: Q. 82 (page 452)

In the following exercises, graph by plotting points.

x+y=鈭�2

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=鈭�2

02

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

x+y=鈭�2

Subtract x on both side

x+y-x=鈭�2-xy=鈭�2-x

03

Step 3. Now the equation is y=−2-xFinding the point by putting the values.

x=0x=1x=2y=鈭�2-xy=鈭�2-xy=鈭�2-xy=鈭�2-0y=鈭�2-1y=鈭�2-2y=鈭�2y=鈭�3y=鈭�4

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

04

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

05

Step 5. Draw the lines through the three points. 

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