Question

Put the equation 8x + 12y = -108 into slope-intercept form, simplifying all fractions.

Answer 1

The equation 8x + 12y = -108 in slope-intercept form is y = (-2/3)x - 9, with a slope of -2/3 and a y-intercept of -9.

Step-by-step explanation:

To put the equation 8x + 12y = -108 into slope-intercept form, we need to solve for y to get it into the form of y = mx + b, where m is the slope and b is the y-intercept. Here are the steps:

1. First, we subtract 8x from both sides of the equation. This gives us:

• 12y = -8x - 108

Next, we divide each term by 12 to solve for y:

• y = (-8/12)x - 108/12

Finally, we simplify the fractions:

• y = (-2/3)x - 9

Now, the equation is in slope-intercept form with a slope of -2/3 and a y-intercept of -9.