Question

15.

Find the slope of a line perpendicular to 2y=-6x+8

2/3
6
1/3
-3/2

Answer 1

The slope of the given line is found from the coefficient of x after dividing the equation by 2.
.. y = -3x +4
The given line has slope -3.
A perpendicular line will have a slope that is the negative reciprocal of this:
.. -1/(-3) = 1/3

This corresponds to your 3rd choice.