Question

Write an equation of the line that passes through the given point and is perpendicular to the given line.

Answer 1

Perpendicular = opposite sign and reciprocal slope
Slope would be negative and reciprocal of 1/3, slope = -3
Plug into y = mx + b
y = -3x + b, plug in point
-4 = -3(-6) + b, b = -22
Solution: y = -3x - 22