Answer:
Intersection point is: (-1/2, -1/2)
Step-by-step explanation:
Notice from the attached image of the points on the plane, that opposite vertices are for example:
(-2, 6) and (1, -7), and we know that in a square, the diagonals intersect dividing themselves in equal parts. So what we need to find is the midpoint of the segment that joins (-2, 6) and (1, -7) to find where the diagonals intersect.
We use the formula for the midpoint:
x-midpoint = (x1 + x2) / 2
y-midpoint = (y1 + y2) / 2
In the case of the points (-2, 6) and (1, -7) these become:
x-midpoint = (-2 + 1) /2 = -1/2
y-midpoint = (6 + -7) / 2 = -1/2
