Question

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

Answer 1

Answer:

y = -1/3x -3

Step-by-step 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

Answer 2

Answer:

$y = - \frac{x }{ 3} - 3$

Step-by-step explanation:

-2x - y = 18

Add 2x to both sides.

-6y = 2x + 18

divide both sides by -6.

$y = \frac{2x + 18}{ - 6}$

divide 2x + 18 by 6

$y = - \frac{x }{ 3} - 3$