Answer
intersection : y = x-2 = 6-2 = 4 and at (6,4)
Work Step by Step
AB is horizontal, so the line containing the altitude is vertical and contains point C(6,2). It's equation is x = 6.
The slope of AC is 2-6/ 6-2 = -4/4 = -1, so the line containing the altitude has slope 1 (the product of the slopes of perpendicular lines is -1) and contains point B(8,6). Its equation is y - 6 = 1(x - 8) ; y = x - 2.
Therefore, the intersection point of these two lines is at the coordinate y = 4 (from y = x - 2 = 6 -2 = 4, and at (6,4).
