Write the equation that is perpendicular to y=3x-2 and goes through the point (-6,-3). *
A:y=3x-2
B:y=-1/3x-5
C:y=3x+8
D:y=1/3x-12

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

= - = - , then

y = - x + c ← is the partial equation

To find c substitute (- 6, - 3 ) into the partial equation

- 3 = 2 + c ⇒ c = - 3 - 2 = - 5

y = - x - 5 ← equation of perpendicular line

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4