Question

Find the slope of a line perpendicular to the line whose equation is 6x-9y=2166x−9y=216. Fully simplify your answer.

Answer 1

Answer: -3/2

Explanation:

To find the slope of the line perpendicular to the given one, we first need to change the equation to y=mx+b to find the original slope.

`6x-9y=216` [subtract both sides by -6x]

`-9y=-6x+216` [divide both sides by -9]

`y=(2)/(3) x-24`

Now we know slope is 2/3. The slope of the perpendicular line is the opposite sign and reciprocal of the slope.

Opposite would make it -2/3.

Reciprocal would be -3/2.
So the slope is -3/2.