Put the following equation of a line into slope-intercept for, simplifying all fractions
12x-20y=-40
To rewrite the equation 12x - 20y = -40 in slope-intercept form, we need to solve for y.
Starting with the given equation:
12x - 20y = -40
We want to isolate the term with y by subtracting 12x from both sides:
-20y = -40 - 12x
Next, we simplify the right side by combining the constant terms:
-20y = -12x - 40
To find the y term, we divide the entire equation by -20:
y = (-12x - 40) / -20
Now, we can simplify the fraction on the right side:
y = (-12x) / -20 - 40 / -20
Dividing both numerator and denominator by their greatest common divisor of 4:
y = (-3x) / 5 + 2
Thus, the equation is now in slope-intercept form, y = -3x/5 + 2.