Question

THWhich of the following lines is perpendicular to y = 4x + 2?A.B.C.x-1/142y=-4x---1y=-x+141y=-x+24D. y = 4x-2

Answer 1

Given

`y=4x+2`

To find:

The equation of the perpendicular line.

Step-by-step explanation:

It is given that,

`y=4x+2`

That implies,

Since the slope of the given line is 4 and the product of the slopes of two perpendicular lines is -1.

Then,

`\begin{gathered} m_1m_2=-1 \\ 4* m_2=-1 \\ m_2=-(1)/(4) \end{gathered}`

Therefore, the equation of the perpendicular line is,