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* m_2=-1 \\ 2* m_2=-1 \\ m_2=-(1)/(2) \end{gathered}`

So the perpendicular line is,

`y=-(1)/(2)x+1`

So this is the required solution.