What is the slope of the line perpendicular to the equation

Y=3x+2

A) 3/2

B) 3

C) - 1/3

D) 1/3

Y=3x+2 slope = 3

perpendicular, slope = - 1/3

answer is C) - 1/3

A perpendicular slope is a negative reciprocal of the initial slope.

So you take the initial slope and flip the numerator and denominator (3/4 becomes 4/3, 4 is really 4/1 so it becomes 1/4)

Then you change the sign, so if it's positive it becomes negative and vice versa.

3/1 becomes - 1/3