# What is the slope-intercept form of 13x+5y=12 ?

Feb 16, 2016

$y = \left(- \frac{13}{5}\right) x + \frac{12}{5}$ is in slope-intercept form, where $\left(- \frac{13}{5}\right)$ is slope and $\frac{12}{5}$ is its intercept on $y$ axis.

#### Explanation:

A linear equation in slope-intercept form is $y = m x + c$. Hence, to convert the equation $13 x + 5 y = 12$ into slope-intercept form, one has to find the value of $y$.

As $13 x + 5 y = 12$, $5 y = - 13 x + 12$ or

$y = \left(- \frac{13}{5}\right) x + \frac{12}{5}$

This is now in slope-intercept form, where $\left(- \frac{13}{5}\right)$ is slope and $\frac{12}{5}$ is its intercept on $y$ axis.