Question

Explain how to rewrite the equation -2x - 6y = 18 in slope-intercept form.

Answer 1

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

Explanation:

-2x - y = 18

Add 2x to both sides.

-6y = 2x + 18

divide both sides by -6.

`y = (2x + 18)/( - 6)`

divide 2x + 18 by 6

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

Answer 2

y = -1/3x -3

Explanation:

-2x - 6y = 18

We want to solve for y since the slope intercept form is y =mx+b where m is the slope and b is the y intercept

Add 2x to each side

-2x-6y +2x = 2x+18

-6y = 2x+18

Divide each side by -6

-6y/-6 = 2x/-6 + 18/-6

y = -1/3x -3

This is in slope intercept form with the slope -1/3 and the y intercept -3