# What is the slope and intercept of 5x-2y = 10?

May 7, 2018

$m = \frac{5}{2} \mathmr{and} c = - 5$

#### Explanation:

You need to change the equation into the form $y = m x + c$

$5 x - 2 y = 10 \text{ } \leftarrow$ make the $y$ term positive,

$5 x - 10 = 2 y \text{ } \leftarrow \div 2$

$\frac{5}{2} x - 5 = y$

or, $y = \frac{5}{2} x - 5 \text{ } \leftarrow$ this is slope-intercept form

In $y = \textcolor{b l u e}{m} x \textcolor{red}{+ c}$

$\textcolor{b l u e}{m}$ gives the slope and $\textcolor{red}{+ c}$ is the y-intercept

$m = \textcolor{b l u e}{\frac{5}{2}} \mathmr{and} c = \textcolor{red}{- 5}$