Answer:
(0, 1)
Step-by-step explanation:
The orthocenter is the point of intersection of the altitudes of the triangle. Each altitude is a line through a vertex and perpendicular to the opposite side.
In the attached, we labeled the points A, B, C in the order given. Side BC of the triangle is vertical, so the horizontal line through A will have equation ...
y = 1
The line AC can be seen on the graph to have slope -1, so the altitude through point B will have slope 1. Its equation will be ...
y = x+1
Then the point of intersection will be where ...
y = y
1 = x+1
0 = x
That is, the orthocenter is the point (x, y) = (0, 1).
