Answer:
3/4
Explanation:
The first step to solving this problem is to isolate one variable. Since we want the slope equation, we should move all of the terms that do not have a y in them to the same side of the equals sign.
Step 1: Isolate y
3x-4y = -36
-4y = -36 - 3x
4y = 36 + 3x
We want our final equation to be in slope intercept form, where y=mx+b.
Step 2: Update form
4y = 3x+36
y = (3/4)x + (36/4)
y = (3/4)x + 9
Since m is the slope in the slope intercept equation, our answer is whatever is being multiplied by x in the equation in step 2. (3/4) is the slope of this equation.