# What is the slope of the line perpendicular to 2x-5y=3?

Jun 29, 2017

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

#### Explanation:

The slope of the line perpendicular to a given line is

$m ' = - \frac{1}{m}$

where $m$ is the slope of the known line.

The slope of a line in the standard form

$a x + b y + c = 0$

is $m = - \frac{a}{b}$

then, for the given line in the standard form

$2 x - 5 y - 3 = 0$

the slope is

$m = - \frac{2}{-} 5 = \frac{2}{5}$

and its perpendicular's slope is

$m ' = - \frac{5}{2}$