Put the following equation of a line into slope-intercept form, simplifying all fractions.
20x+12y=72
To put the equation 20x + 12y = 72 into slope-intercept form, we need to isolate the variable y on one side of the equation. Starting with the given equation:
20x + 12y = 72
First, subtract 20x from both sides to isolate the term with y:
12y = -20x + 72
Next, divide both sides by 12 to simplify the fraction:
y = (-20/12)x + 72/12
Simplifying the fraction:
y = (-5/3)x + 6
Thus, the equation is in slope-intercept form.