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The equation of line s is x + 8y = –8 . Parallel to line s is line t , which passes through the point (5, –1) . What is the equation of line t ?

User MarkP
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Answer: x+8y = -3

Step-by-step explanation:

If we're given an equation in the form Ax+By = C, then the equation Ax+By = D is parallel to the given line. Note the repeat of Ax+By. The only difference is that the right hand side is something else.

For x+8y = -8, anything parallel to this is x+8y = D

Plug in the given point (x,y) = (5,-1) to compute D

x+8y = D

5+8(-1) = D

5-8 = D

-3 = D

D = -3

Therefore the equation x+8y = -3 is parallel to the given line.

User Cjn
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