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Complete the tables of values for x+2y =7

Complete the tables of values for x+2y =7-example-1
User Sema
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1 Answer

4 votes
Answers for the chart left to right
(-2, 4 1/2) (-1, 4) (0, 3 1/2) (1, 3) (2, 2 1/2) (3, 2)

Step by step
First I put our equation into y intercept form

2y = -1x + 7

Divide both sides by 2 to isolate y

2/2 y = -1/2x + 7/2

y = -1/2x + 3 1/2

Now we fill in your chart

From this we see the y intercept is at 3 1/2, so at (0, 3 1/2) is our coordinate on the y axis.
Enter this on your chart at 0x.

From here, we see our slope or rate of change is - 1/2 for every x value. So moving to the right from 0
3 1/2 + -1/2 = 3, (1, 3)
3 + -1/2 = 2 1/2 (2, 2 1/2)
2 1/2 + -1/2= 2 (3, 2)

Moving left from 0
3 1/2 - -1/2 = 4 (-1, 4)
4 - -1/2 = 4 1/2 (-2, 4 1/2)

Now you can graph your points
I did a graph for you as an example in the attachment
Complete the tables of values for x+2y =7-example-1
User Aman Bansal
by
6.9k points