SOLUTION: through(-2,2), parallel to -9x+8y=82 answer expressed in standard form. Please show steps

Question 580089: through(-2,2), parallel to -9x+8y=82 answer expressed in standard form. Please show steps
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
through(-2,2), parallel to -9x+8y=82 answer expressed in standard form.
:
We want the equation in the slope/intercept form to find the slope (y=mx+b)
:
-9x + 8y = 82
add 9x to both sides
8y = 9x + 82
divide both sides by 8
y = x +
therefore the slope
m =
:
Parallel lines have the same slope, therefore this line:
x1=-2; y1=2
m =
:
Use the point/slope form: y - y1 = m(x - x1)
y - 2 = (x - (-2))
y - 2 = (x + 2)
y - 2 = x +
y - 2 = x +
add 2 to both sides (8/4)
y = x + +
y = x +
They want it in the standard form (no fractions) multiply by 8
8y = 9x + 34
-9x + 8y = 34
or multiply by -1
9x - 8y = -34, is the standard form of the parallel line going thru -2,2
;
:
You can confirm this, substitute -2 for x and 2 for y, and see if the equation is true
:
How about this? Was it step-by-step enough for you? C

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