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Answer: -4x+5y = 100</h3>
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Explanation:
The given equation is the same as -4x+5y = 10
It is of the form Ax+By = C, where A = -4, B = 5, C = 10
Anything parallel to Ax+By = C is of the form Ax+By = D. The only difference is the C has changed to a D.
This means anything parallel to -4x+5y = 10 is -4x+5y = D, where D is not equal to 10, but it could be any other number.
Plug in the coordinates of (-15,8) to find the value of D
-4x+5y = D
-4(-15)+5(8) = D
60+40 = D
100 = D
D = 100
We have -4x+5y = D update to -4x+5y = 100
The equation -4x+5y = 100 is parallel to -4x+5y = 10, and it goes through (-15,8)
Parallel lines have the same slope, but different y intercepts.
Note how Ax+By = C has a slope of m = -B/A. This means A cannot be zero.
