Question

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

3x+18y=−144

Answer 1

To put the equation 3x+18y=−144 into slope-intercept form, isolate y by subtracting 3x from both sides, then divide by 18, to get y = (-1/6)x - 8. The slope is -1/6 and the y-intercept is -8.

Step-by-step explanation:

To put the equation of a line 3x+18y=−144 into slope-intercept form, we need to solve for y. The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.

1. First, subtract 3x from both sides of the equation to isolate the y-term on one side: 18y = -3x - 144.
2. Then, divide each term by 18, the coefficient of y, to solve for y: y = (-3/18)x - 144/18.
3. Simplify the fractions: y = (-1/6)x - 8.

Now, the equation is in slope-intercept form y = (-1/6)x - 8, where the slope (m) is -1/6 and the y-intercept (b) is -8.