Answer:
y = - 4x + 15
Explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y =
- 2 ← is in slope- intercept form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= - 4 , then
y = - 4x + c ← is the partial equation
to find c, substitute (4, - 1 ) into the partial equation
- 1 = - 16 + c ⇒ c = - 1 + 16 = 15
y = - 4x + 15 ← equation of perpendicular line