# What is the equation of the line perpendicular to #y=-1/5x # that passes through # (7,4) #?

##### 1 Answer

May 17, 2017

#y=5x-31#

#### Explanation:

Given -

#y=-1/5x#

Slope of the given line

#m_1=-1/5#

The two line are perpendicular

Slope of the second line

Second line passes through the point

Equation of the second line

#y=mx+c#

#4=(5 xx 7)+c#

#4=35+c#

#c=4-35=-31#

#y=5x-31#