Answer:
C
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 = 2x + 8 ← is in slope- intercept form
with slope m = 2
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{2}[/tex] , then
y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation of the perpendicular line
to find c substitute (8, - 8 ) into the partial equation
- 8 = - 4 + c ⇒ c = - 8 + 4 = - 4
y = - [tex]\frac{1}{2}[/tex] x - 4 ← equation of perpendicular line
