Answer:
y = - 3x - 22
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x + 1 ← is in slope- intercept form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= - 3 , then
y = - 3x + c ← is the partial equation
To find c substitute (- 6, - 4) into the partial equation
- 4 = 18 + c ⇒ c = - 4 - 18 = - 22
y = - 3x - 22 ← equation of perpendicular line