Answer:
x = 4
Explanation:
You want the equation of AD perpendicular to BC, where the point coordinates are A(4, 6), B(1, 2), C(6, 2).
Horizontal line
We notice the y-coordinates of point B and C are the same, indicating the line is horizontal. Its equation is y = 2.
Perpendicular line
The line perpendicular to the horizontal line y = 2 will be a vertical line. Its equation will be of the form ...
x = c
where c is some constant.
We want this line to go through the point (4, 6), which has an x-coordinate of 4. That means the constant in the equation must be 4:
x = 4 . . . . . . equation of AD