Answer:
(4,3)
Explanation:
The orthocenter of a triangle is the point of intersection of the altitudes of the triangle .
The vertices are:
A(-2,5), B(6,5), and C(4,-1)
Slope of (6,5), and (4,-1) is

Slope of altitude through A is

The equation of the altitude through A is


The slope of A(-2,5), B(6,5) is zero because it is a horizontal line.
The equation of altitude through (4,-1) will be the vertical line x=4.
This implies that,

Hence the orthocenter is (4,3)