Question

How do you find the slope and y intercept for `4x - 3y = 27`?

Answer 1

If we can express `4x-3y=27`
in the slope-intercept form: `y = mx+b`
we will be able to read the slope and y-intercept directly from the equation.

`4x-3y=27`

`rarr -3y = -4x+27`

`rarr y = (4/3)x + (-9)`

The slope is `(4/3)`
and the y-intercept is `(-9)`

Answer 2

I would write it in Slope-Intercept form to "read" these information directly.

To do that simply isolate `y` on one side as:

`y=4/3x-9`

So:
Slope=`4/3`
y-intercept=`-9`