How do you find the slope perpendicular to 2x + 3 = 4y2x+3=4y?

1 Answer
Rohan A.K
Jan 20, 2016

Perpendicular slope has value -2−2

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=-1m1⋅m2=−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)2(x+32)=4y⇒y=12(x+32)
So the slope of the above given equation is taken as m_1=1/2m1=12
Now, substituting this in the given equation, we get m_2*1/2=-1\impliesm_2=-2m2⋅12=−1⇒m2=−2

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