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

Jun 20, 2018

The slope of the perpendicular line is $= \frac{2}{5}$

#### Explanation:

Given -

$5 x + 2 y = 10$

Slope of the given line is ${m}_{1} = - \frac{a}{b} = - \frac{5}{2}$

Two lines are perpendicular when ${m}_{1} \times {m}_{2} = - 1$

Then

${m}_{2} = - \frac{1}{m} _ 1 = - 1 \div - \frac{5}{2} = - 1 \times - \frac{2}{5} = \frac{2}{5}$

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