Final answer:
To convert the equation 12x - 20y = 60 to slope-intercept form, you subtract 12x from both sides and divide everything by -20, resulting in y = (3/5)x - 3 with a slope of 3/5 and a y-intercept of -3.
Step-by-step explanation:
To put the equation 12x - 20y = 60 into slope-intercept form and simplify all fractions, we need to solve for y. The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
First, we isolate y by subtracting 12x from both sides of the equation:
-20y = -12x + 60
Now, we divide both sides of the equation by -20 to solve for y:
y = (12/20)x - (60/20)
Simplifying the fractions, we get:
y = (3/5)x - 3
Thus, the slope-intercept form of the equation is y = (3/5)x - 3, with a slope of 3/5 and a y-intercept of -3.