Answer:
y = 3x - 5
Step-by-step explanation:
Points on given line: (-3, 2), (0, 1)
m1 = slope of given line; m = slope of perpendicular
Slope of given line = m1 = (y2 - y1)/(x2 - x1) = (2 - 1)/(-3 - 0) = 1/(-3) = -1/3
The slopes of perpendicular lines have a product of -1.
m1 * m = -1
-1/3 * m = -1
m = 3
Slope of perpendicular: m = 3
Point on perpendicular: (3, 4)
y - y1 = m(x - x1)
y - 4 = 3(x - 3)
y - 4 = 3x - 9
y = 3x - 5
Answer: y = 3x - 5
