Answer:
y = - 3x - 4
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 - 3 ← 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 , thus
y = - 3x + c ← is the partial equation
To find c substitute (- 1, - 1) into the partial equation
- 1 = 3 + c ⇒ c = - 1 - 3 = - 4
y = - 3x - 4 ← equation of perpendicular line