Question

Which of the following lines is perpendicular to the equation given below?

Answer 1

Given data:

The given equation of the line is y=-2x+8.

The slope of the given line is -2.

The slope of the line perpendicular to it is,

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

The standard equation of the line is,

`y=mx+c`

Here, m is the slope of the line.

The second option can be written as,

`\begin{gathered} x-2y=8 \\ 2y=x-8 \\ y=(1)/(2)x-4 \end{gathered}`

Thus, option (B) is correct.