How do you find the slope of the line perpendicular to #4x+2y=10#?
1 Answer
Apr 4, 2015

The Product of the Slopes of 2 Perpendicular Lines is always
#1# 
So let's find the Slope of the given line first
The equation of the line is
The Slope Intercept form of the equation of a given line is
To get the slope intercept form of the given line, we transpose
Dividing both sides of the equation by 2, we get:
The Slope of the given line is

As the Product of the Slopes of 2 Perpendicular Lines is
#1# , we can say that
#m_1*m_2=1#
#(2)*m_2=1#
#m_2=1/2# 
The Slope of the line Perpendicular to
#4x+2y=10# is#1/2#