ANSWER
The required equation is

EXPLANATION
The given line passes through the point

The slope of this line is given by the formula,

This implies that,


The product of the slope of the two perpendicular lines should be negative one.
Thus,

This implies that,

We multiply through by

to obtain,


Therefore the slope of the line perpendicular to the given line is

We use the slope intercept formula

where

is the y-value of the y-intercept.
We therefore have,

as the required equation.
The correct answer is C.