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.

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,

$\begin{gathered} m_1m_2=-1 \\ 4\times m_2=-1 \\ m_2=-\frac{1}{4} \end{gathered}$

Therefore, the equation of the perpendicular line is,