# How do you find the slope of the line 9x-5y=4?

Aug 29, 2015

Slope $m = \frac{9}{5}$

#### Explanation:

Method 1: Re-write In slope-intercept form
$9 x - 5 y = 4$

$\rightarrow - 5 y = - 9 x + 4$

$\rightarrow y = \frac{9}{5} x - \frac{4}{5}$
$\textcolor{w h i t e}{\text{XXX}}$which is slope-intercept form
$\textcolor{w h i t e}{\text{XXX}}$with slope $= \frac{9}{5}$ and y-intercept $= - \frac{4}{5}$

Method 2: Use the slope formula for a linear equation in standard form
For a linear equation in standard form:
$\textcolor{w h i t e}{\text{XXX}} A x + B y = C$
the slope is given by the formula:
$\textcolor{w h i t e}{\text{XXX}} m = - \frac{A}{B}$

In this case $A = 9$ and $B = - 5$
so $\textcolor{w h i t e}{\text{XXX}} m = - \frac{9}{- 5} = \frac{9}{5}$