Final answer:
To put the equation 20x - 24y = -144 into slope-intercept form, subtract 144 from both sides to get 20x - 24y + 144 = 0. Then, divide every term by -24 to isolate the term with y, resulting in y = -5/6x - 6.
Step-by-step explanation:
To put the equation 20x - 24y = -144 into slope-intercept form, we need to solve for y. First, let's get rid of the constant term by adding 144 to both sides of the equation: 20x - 24y + 144 = 0. Next, we need to isolate the term with y. To do this, let's divide every term by -24 to simplify the equation: (20/(-24))x + (144/(-24)) = y, which simplifies to -5/6x - 6 = y. Therefore, the equation in slope-intercept form, y = mx + b, is y = -5/6x - 6. The correct answer is D) y = -5/6x - 6.