# How do you find the slope that is perpendicular to the line (4, 19) and (-3, 5)?

##### 1 Answer

Mar 18, 2018

The slope of the line which is perpendicular to the line

#### Explanation:

Given -

#(4, 19); (-3, 5)#

The slope of the given line

#x_1=4#

#y_1=19#

#x_2=-3#

#y_2=5#

#m_1=(y_2-y_1)/(x_2-x_1)=(5-19)/(-3-4)=(-14)/(-7)=2#

The slope of the line which is perpendicular to a given line

#m_2=(-1)/m_1=(-1)/2=-1/2#

The slope of the line which is perpendicular to the line