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

May 29, 2015

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

$4 x - 3 y = 27$

$\rightarrow - 3 y = - 4 x + 27$

$\rightarrow y = \left(\frac{4}{3}\right) x + \left(- 9\right)$

The slope is $\left(\frac{4}{3}\right)$
and the y-intercept is $\left(- 9\right)$

May 29, 2015

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

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

$y = \frac{4}{3} x - 9$

So:
Slope=$\frac{4}{3}$
y-intercept=$- 9$