The orthocentre of the triangle formed by the lines x=2, y=3 and 3x+2y=6 is at the point

We know that the orthocentre of a right triangle is at the vertex forming right angle. Here, x = 2 and y = 3 are perpendicular sides of the given triangle. So, their point of intersection i.e. (2, 3) is the orthocentre.