# How do you find the slope given 2x + 5y = 10?

May 24, 2018

$- \frac{2}{5}$

#### Explanation:

To find the slope of a straight line, we must convert the equation into the form of $y = m x + b$, and then look at the value of $m$, which will be its slope.

So here:

$2 x + 5 y = 10$

$5 y = 10 - 2 x$

$5 y = - 2 x + 10$

$y = \frac{- 2 x + 10}{5}$

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

$\therefore$ The slope is $- \frac{2}{5}$.