Question

What is the slope of a line that is perpendicular to 6x = 3x - 9

Answer 1

Slope: -2

Explanation:

(This answer is if you meant to write 6y = 3x - 9)

First, change the standard equation form into a linear equation form, y=mx+b. To do this, divide both sides by 6 to get:

`y=(3)/(6) x-(9)/(6)`

This can then simplify to:

`y=(1)/(2) x-(3)/(2)`

In order to find the equation of a perpendicular line, you need to find the opposite reciprocal of the current slope:

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

The slope is m, meaning that the slope of the perpendicular equation is -2.

Hope this helps!

Answer 2

6x+3=-9
3y=-6x-9
y=-2x-4.5

Slope of the line is -2