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