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Find the equation of the line that is parallel to the given line and passes through the given point.

y = −5x + 1; (5, 7)

Find the equation of the line that is parallel to the given line and passes through the given point y 5x 1 5 7 class=

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gufeliz1965

See attachment for math work and answer.

The equation we are looking for is parallel to the given equation. This means both equations have the same slope.

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Answer:

y = -5x + 32

Step-by-step explanation:

y = -5x + 1

=> (d): 5x + y - 1 = 0

d' is parallel to the given line and passes through the given point

=> (d'): passes through (5;7)

           // (d): 5x + y - 1 = 0

=> (d'): 5x + y - 32 = 0 <=> y = -5x + 32

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