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.
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.