Question

Find the equation of the line.

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The line is parallel to y =-6/7x +1 and passes through the point (-7,-3).
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The equation of the line is y=

Answer 1

y =
`-(6)/(7)` x - 9

Explanation:

Parallel lines have the same slopes and different y-intercept

m =
`-(6)/(7)`

y - (- 3) =
`-(6)/(7)` [x - (- 7)]

y + 3 =
`-(6)/(7)` (x + 7)

y + 3 =
`-(6)/(7)` x - 6

y =
`-(6)/(7)` x - 9