# How do you find the slope given 4x-5y=3?

Mar 7, 2018

Isolate Y on one side and move from there by dividing both sides.

#### Explanation:

$4 x - 5 y = 3$
$- 5 y = - 4 x + 3$
$y = \frac{4}{5} x - \frac{3}{5}$
so $m = \frac{4}{5}$

Mar 7, 2018

$\text{slope } = \frac{4}{5}$

#### Explanation:

$\text{the equation of a line in "color(blue)"point-slope form}$ is.

•color(white)(x)y=mx+b

$\text{where m is the slope and b the y-intercept}$

$\text{rearrange "4x-5y=3" into this form}$

$\Rightarrow - 5 y = - 4 x + 3 \leftarrow \textcolor{b l u e}{\text{divide all terms by }} - 5$

$\Rightarrow y = \frac{4}{5} x - \frac{3}{5} \leftarrow \textcolor{b l u e}{\text{in slope intercept form}}$

$\Rightarrow \text{slope } = m = \frac{4}{5}$