Question

[4.07]

Choose the slope-intercept equation of the line that passes through the point (6, -6) and is perpendicular to y = 3x - 6.

y = 1 over 3x - 8

y = -3x + 12

y = 3x - 24

y = -1 over 3x - 4

Answer 1

product of slopes of 2 perpendicular lines = -1
let m be the slope of the line
then
3 x m = -1
m= -1/3

now use the formula
y+6 = (-1/3)(x-6)
y+6 = (-1/3)x +2

y = (-1/3)x -4