# What is the slope of the line perpendicular to y=2/7x-13 ?

Jan 21, 2016

Slope of the perpendicular line is $= - \frac{7}{2}$

#### Explanation:

Given line is -

$y = \frac{2}{7} x - 13$

For the two line to be perpendicular,

${m}_{1} \times {m}_{2} = - 1$

Where -

${m}_{1}$ is slope of the first line.
${m}_{2}$ is the slope of the second line.

Now-

$\frac{2}{7} \times {m}_{2} = - 1$
${m}_{2} = - 1 \times \frac{7}{2} = - \frac{7}{2}$
Slope of the perpendicular line is $= - \frac{7}{2}$