Question

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

Answer 1

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`