# How do you find the equation of the line that passes through the point (1, -5). and is perpendicular to the line #y=-1/2x+4#?

##### 1 Answer

Dec 26, 2016

The required equation is

#### Explanation:

Given -

#y=-1/2x+4#

Slope of the given line

Slope of the perpendicular line

#m_2=-1xx (-2/1)=2#

Then -

Let the equation of the required line be -

#y=mx+c#

Given the point

#2 xx 1+c=-5#

#c=-5-2=-7#

The required equation is