# How do you find the slope given 5x - 2y = 1?

Jun 2, 2018

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

#### Explanation:

$5 x - 2 y = 1$

$2 y = 1 - 5 x$

$y = \frac{1}{2} \left(1 - 5 x\right)$

$y = \frac{1}{2} - \frac{5}{2} x$

Since the equation can be written in the general form $y = m x + b$ where m is your gradient, then $m = - \frac{5}{2}$

Therefore, the slope is $- \frac{5}{2}$