# Find the slope perpendicular to 2x+3=4y

Find the slope perpendicular to 2x+3=4y
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Ryan Underwood
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
${m}_{1}\cdot {m}_{2}=-1$
The above equation should first be made into a general slope equation first, so it becomes
$2\left(x+\frac{3}{2}\right)=4y⇒y=\frac{1}{2}\left(x+\frac{3}{2}\right)$
So the slope of the above given equation is taken as ${m}_{1}=\frac{1}{2}$
Now, substituting this in the given equation, we get ${m}_{2}\cdot \frac{1}{2}=-1⇒{m}_{2}=-2$