Question

How do you find the slope and the intercepts of `3x-4y=12`?

Answer 1

I would try rearranging your equation by isolating `y` on the left as:
`y=3/4x-12/4`
`y=3/4x-3`
So now you can "read" the information from your equation:
slope=`3/4`
y-intercept=`-3` (for `x=0`)
x-intercept=`4` (for `y=0`)