For this case we have that by definition, the equation of the line in a slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
We have the following equation:
Thus, the slope is
By definition, if two lines are perpendicular then the product of the slopes is -1.
We find
Thus, the equation of the line is:
We substitute the given point to find "b":
Thus, the equation of a line perpendicular to the given line and passing through the given point is:
Answer: