To find the midpoint (a,b) of a line, we simply take the average of each coordinate. For example, given two points, A(x₁,y₂) and B(x₂,y₂) The midpoint (a,b) is determined using these formulas:
a = (x₁+x₂)/2; b = (y₁+y₂)/2
For this problem, however, the unknown is point J with the midpoint at K(-5,10) and the other point L(-8,6) as the given values. We then have the following equations:
(x₁-8)/2 = -5
(y₁+6)/2 = 10
Performing the necessary mathematical operations result to the coordinates of point J(-2,14).
