Question

Which of the following lines are Perpendicular to the graph of y = 2x +1 ?

Answer 1

Given:-

$y=2x+1$

To find:-

An perpendicular line.

If two lines are perpendicular then the product of its slope is -1.

The slope of the given line is 2.

So we get,

$\begin{gathered} m_1\times m_2=-1 \\ 2\times m_2=-1 \\ m_2=-\frac{1}{2} \end{gathered}$

So the perpendicular line is,

$y=-\frac{1}{2}x+1$

So this is the required solution.