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Graph each equation by making a table.

2x−y=2.

Short Answer

Expert verified

The table of values for the points x,yis:

x
y
x,y
0−2
0,−2
101,0
12−1
12,−1
222,2

The graph of the equation 2x−y=2is:

Step by step solution

01

Step 1. Find the values of y for some values of x.

Find the value of yfor x=0.

localid="1647332667913" 2x−y=220−y=20−y=2−y=2y=−2

Find the value ofyfor x=1.

localid="1647332925346" 2x−y=221−y=22−y=22−2=y0=y

Find the value ofyfor x=12.

localid="1647338321114" 2x−y=2212−y=21−y=21−2=y−1=y

Find the value ofyfor x=2.

2x−y=222−y=24−y=24−2=y2=y

02

Step 2. Make a table of values for the points x,y.

The table of values for the points x,yis:

x
y
x,y
0−2
0,−2
101,0
12−1
12,−1
222,2
03

Step 3. Graph the equation 2x−y=2.

The plot of the points x,yis:

Draw the graph of the equation2x−y=2by joining the plotted points.

Therefore, the graph of the equation width="69">2x−y=2is:

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