Question

Put the following equation of a line into slope-intercept form, simplifying all fractions.

9x+6y= -36

Answer 1

y = -3/2x - 6

Explanation:

Slope-intercept form is y = mx + b

To turn 9x + 6y = -36 into slope-intercept form, y needs to be on its own. We can subtract 9x from both sides:

9x + 6y = -36 → 6y = -36 - 9x → 6y = -9x - 36

Now we can divide both sides by 6 to get y on its own:

6y = -9x - 36 → y = -9/6x - 6

-9/6 can be simplified to -3/2 so the answer is: y = -3/2x - 6

Hope this helps!