Answer:
perpendicular:
[tex]x - 5y = 32[/tex]
parallel:
[tex]5x + y = 30[/tex]
Step-by-step explanation:
original line:
y = -5x + 5
=> 5x + y = 5
m = -5/1 = -5
perpendicular:
m = 1/5
L: x - 5y = k
(7, -5) -> L
7 - 5 * (-5) = k
=> 7 + 25 = 32 = k
L: x - 5y = 32
parallel:
m = -5
L: 5x + y = k
(7, -5) -> L
35 - 5 = 30 = k
L: 5x + y = 30