Question

What is the slope of the line –6y + 2x = 18 in simplest form?

Answer 1

Change it to slope intercept form. It's y = mx + b.

-6y + 2x = 18

First we subtract 2 to both sides:

-6y = -2x + 8

Now we divide -6 to both sides, what's -2 / -6?

Answer 2

To find the slope, let's first put the equation in slope-intercept form, or y = mx + b.
So that would be
y = \[\frac{ 1 }{ 3 }x\] -3

Answer 3

Then, to find the slope, we just take "m" of y = mx + b. So the coefficient of "x" in your new equation.

Answer 4

Actually, we should simplify 2/6, can you do that?

Answer 5

3 @iGreen.

Answer 6

@edennoyes I think you meant 1/3

Answer 7

;)

Answer 8

or 0.3 @iGreen.

Answer 9

Yeah, and that would be our slope.

Answer 10

Slope is 1/3 or 0.3

Answer 11

\[–6y + 2x = 18\\-6y=-2x+18\\y=\frac{2}{6}x-\frac{18}{6}\\y=\frac{1}{3}-3\\\boxed{m=\dfrac{1}{3}}\]

Answer 12

ohhhh! thanks! @iGreen. @AdamK