Put the following equation of a line into slope-intercept for, simplifying all fractions
12x-20y=-100
To convert the equation 12x - 20y = -100 into slope-intercept form, we need to solve for y.
Starting with the given equation:
12x - 20y = -100
To isolate the y-variable, we will move the 12x term to the opposite side of the equation by subtracting 12x from both sides:
-20y = -100 - 12x
Next, we simplify the equation by dividing all terms by the common factor of -20:
y = (-100 - 12x) / -20
Simplifying the numerator:
y = (-10 - (12/20)x)
Reducing the fraction:
y = (-10 - (3/5)x)
Thus, the equation 12x - 20y = -100 is simplified into slope-intercept form as y = (-10 - (3/5)x).