How can you find the slope of the line 3x-5y=3?

Mar 30, 2015

The easiest way to find the slope of an equation like $3 x - 5 y = 3$
is to re-arrange it into a slope-point form $\left(y - {y}_{0}\right) = m \left(x - {x}_{0}\right)$ where it is really only the $m$ slope we are interested in.

$3 x - 5 y = 3$

$\rightarrow - 5 y = - 3 x + 3$

$\rightarrow y = \frac{3}{5} x - \frac{3}{5}$

$\rightarrow \left(y - 0\right) = \frac{3}{5} \left(x - 1\right)$

and the slope is $\frac{3}{5}$