What is the equation of the line that passes through the point (-9. 6) and is perpendicular to the line -5 + x = 3y

The perpendicular equation is y = -3x -21

Step-by-step explanation:

Perpendicular lines have the exact opposite slope as the other equation and they never have the same y-intercept.

To find the perpendicular slope just look at the slope in the original equation and get the exact opposite.

First let's simplify the equation.

-5 + x = 3y (divide by 3 on both sides to get y by itself)

-5/3 + 1/3x = y or y = 1/3x + 5/3

The exact opposite of this slope would be -3.

Now plug in the point you were given so that we can find the y-intercept.

6 = -3(-9) + b   (b = y-intercept)

6 = 27 + b (subtract 27 on both sides)

-21 = b

So the perpendicular equation looks like this.

y = -3x -21

add an !

step-by-step explanation: