Question 111886: Please help me with understanding how to solve each system by graphing. For example, I have to solve, then graph the below:
-y -9 = -x (answer y=-1x+9)
-12-6y = x (answer y=6x+2)
I understand how to get the answer if the answer is actually correct, however, I need to understand how I then graph it. Please help.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! -y -9 = -x
Add "y" to both sides; Add "x" to both sides to geet
y = x-9
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You need to find and plot two points: then draw a line thru them.
Points:
If x = 0, y = 0-9 = -9
If x = 2, y = 2-9 = 7
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That gives you points: (0,-9) and (2,-7)
(0,-9) is 9 below (0,0) on the y-axis.
To plot (2,-7) start at (0,0); move 2 to the right,
then move 7 down. Put a point where you end up at *9,-7)
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Plot and draw to get the following:
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-12-6y = x
Add 6y to both sides; Subtract "x" from both sides to get:
6y = -x-12
Divide all terms by 6 to get
y = (-1/6)x-2
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Let x=0, then y = -2
Let x=6, then y = -3
Points:
That gives you points: (0.-2) and (6,-3)
Plot the draw to get the following:
For (0,-2), start at (0,0); move two down
the y-axis and put a point there.
For (6,-3); start at (0,0); move 6to the right
along the x-axis; then move three down; put a point there
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Cheers,
Stan H.
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