Write an equation of the line containing the givin point and parallel to the givin line. Express your answer in the form y=mx+b

The equation of the line is y=?

(-5,9);8x=7y+5

1 answer

since the new line is parallel, it will differ only in the constant,
that is,
its equation will be 8x = 7y + c
plug in the point (-5,9)
-40 = 63 + c
c = -103
so we have
8x = 7y - 103 , rearrange
8x + 103 = 7y
(8/7)x + 103/7 = y
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