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Chapter 4: Q. 4.27 (page 442)

Graph the equation by plotting points:2x+y=2

Short Answer

Expert verified

The graph of the equation is

Step by step solution

01

Step 1. Given Information 

Graph the equation by plotting points:2x+y=2

02

Step 2. Find three points that are solutions to the equation.

First, solve the equation for y .

2x+y=2

Subtract2x on both side

2x+y-2x=2-2xy=2-2x

03

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

x=0x=1x=2y=2-2xy=2-2xy=2-2xy=2-2脳0y=2-2脳1y=2-2脳2y=2-0y=2-2y=2-4y=2y=0y=-2

04

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

05

Step 5. Draw the lines through the three points. 

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