What is the slope of any line perpendicular to the line passing through #(-2,6)# and #(-7,4)#?

2 Answers
Apr 29, 2016

Answer:

Slope of the perpendicular line #m_2=-5/2#

Explanation:

Given -

The two points on the given line.

#x_1=-2#
#y_1=6#
#x_2=-7#
#y_2=4#

Slope of the given line #m_1#

#=(y_2-y_1)/(x_2-x_1)=(4-6)/(-7-(-2))=(-2)/(-5)=2/5#

Slope of the perpendicular line #m_2#

Two line are perpendicular if #(m_1 xx m_2=-1)#

Find #m_2#

#2/5 xx m_2= -1#
#m_2=-1 xx 5/2=-5/2#

Look at the graph

Apr 29, 2016

Answer:

#-5/2#

Explanation:

Find slope of line through points using formula #(y_2 -y_1 )/(x_2 -x_1)#. Slope of a line perpendicular to a given line is the negative reciprocal.