What are the coordinates of the foot of perpendicular from the point to the line ?
Step 1. Obtain the equations required to find coordinates of point.
Let us consider the coordinates of the foot of the perpendicular from to the line be .
So, the slope of the line join and is
And the slope of the line or is .
Since these two lines are perpendicular,
Thus
The point lies in the line
So,
Step 2. Find the coordinates of the foot of perpendicular.
In order to solve and , multiply the equation with and equation with and add both the equations:
Put in equation :
Hence
Hence, the coordinates of the foot of perpendicular are.