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PLEASE HELP ME!!!! What system of equations is shown on the graph below?

A. x-2y=-4 and 2x+y=4
B. x-2y=4 and 2x+y=-4
C. x-2y=-2 and 2x+y=-4
D. x-2y=2 and 2x+y=4​

PLEASE HELP ME!!!! What system of equations is shown on the graph below? A. x-2y=-4 and-example-1

1 Answer

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B

Straight line= y=mx+c

Orange line
c=-4
m= 4/-2 =-2

y=-2x-4

Rearranged: 2x+y=-4


Blue line
c=-2
m= 2/4 =1/2

y=1/2x-2

Multiply by 2 to get rid of fraction
-2(y=1/2x-2)
= -2y=-x+4

Rearranged:

x-2y=4

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