Option D: is the equation of line
Explanation:
The equation of the line is perpendicular to the line and that passes through the point
We need to determine the equation of the line.
First, let us determine the slope of the equation.
Since, the equation is perpendicular to the line , the slope is
Since, the lines are perpendicular, we have,
Now, we shall substitute the slope and the point in the slope - point formula, we have,
Hence, writing this equation in slope - intercept form, we have,
Thus, the equation of the line is
Therefore, Option D is the correct answer.