How do you find the slope perpendicular to #2x + 3 = 4y#?

1 Answer
Jan 20, 2016

Answer:

Perpendicular slope has value #-2#

Explanation:

Since the given equation is a simple linear equation, it's not difficult to find the slope perpendicular to the given equation.
Now, we know that the product of the value of the slopes of 2 perpendicular lines is equal to negative of unity, that is
#m_1*m_2=-1#
The above equation should first be made into a general slope equation first, so it becomes
#2(x+3/2)=4y\impliesy=1/2(x+3/2)#
So the slope of the above given equation is taken as #m_1=1/2#
Now, substituting this in the given equation, we get #m_2*1/2=-1\impliesm_2=-2#