Put the following equation of a line into slope-intercept form, simplifying all fractions.
9, x, plus, 6, y, equals, minus, 24
9x+6y=
−24
To put the equation 9x + 6y = -24 into slope-intercept form (y = mx + b), we need to solve it for y.
First, isolate the y-term by subtracting 9x from both sides of the equation:
9x + 6y - 9x = -24 - 9x
6y = -9x - 24
Next, divide each term by the coefficient of y, which is 6, to solve for y:
6y/6 = (-9x/6) - (24/6)
y = (-3/2)x - 4
So the slope-intercept form of the equation is:
y = (-3/2)x - 4
Here, the slope (m) is -3/2, and the y-intercept (b) is -4.