Answer:
D
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 - 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
= -
= -
= - 3 , then
y = - 3x + c ← is the partial equation
To find c substitute (4, - 7) into the partial equation
- 7 = - 12 + c ⇒ c = - 7 + 12 = 5
y = - 3x + 5 → D