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Answered

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SDCInfinity

Answer:

Parallel: y = -5x - 34 ; Perpendicular: y = 1/5x - 14/5

Step-by-step explanation:

Lines that are parallel have the same slope. Lines that are perpendicular have opposite reciprocal slopes. (Ex. 1/3 ⇒ -3)

We need to substitute the given values into the point-slope form equation.

Parallel:

y + 4 = -5(x + 6)

y + 4 = -5x - 30

y = -5x - 34

Perpendicular:

y + 4 = 1/5(x + 6)

y + 4 = 1/5x + 6/5

y = 1/5x - 14/5

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