y = mx + c
13. y = 2x - 4 and goes through (1,5)
Parallel
m = 2
(The slope is the same for parallel lines)
y = 2x + c
5 = 2(1) + c
5 = 2 + c
c = 3
Answer: y = 2x + 3
Perpendicular
m = - 1/2
(The slope is the inverse and negative for perpendicular lines)
y = -1/2x + c
5 = -1/2(1) + c
5 = -1/2 + c
c = -5.5
Answer: y = 1/2x - 5.5
Try the same thing for the second question
Your should get
Parallel: y = -3x + 12
Perpendicular: y = 1/3x + 2