Answer:
B
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 = 3x - 2 ← is in slope- intercept form
with slope m = 3
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}{3} [/tex] , then
y = - [tex]\frac{1}{3} [/tex] x + c ← is the partial equation
To find c substitute (- 6, - 3 ) into the partial equation
- 3 = 2 + c ⇒ c = - 3 - 2 = - 5
y = - [tex]\frac{1}{3} [/tex] x - 5 ← equation of perpendicular line
