Put the following equation of a line into slope-intercept form, simplifying all fractions.
12, x, plus, 8, y, equals, minus, 24
12x+8y=
−24
To put the equation into slope-intercept form (y = mx + b), we need to isolate y on one side of the equation. Here's how to do it for the equation 12x + 8y = -24:
1. Subtract 12x from both sides:
8y = -12x - 24
2. Divide all terms by 8 (the coefficient of y) to solve for y:
y = (-12/8)x + (-24/8)
3. Simplify the fractions:
y = (-3/2)x - 3
Now the equation is in slope-intercept form y = mx + b, where m is the slope and b is the y-intercept. The slope m is -3/2, and the y-intercept b is -3.