Answer:
K = (18,-17)
Step-by-step explanation:
Remark
You have one endpoint K. You also have the midpoint of 2 points. You are asked to find the other endpoint.
Givens
J(-10,5)
M(4, - 6)
K=?
Formula
Mx = (x1 + x2)/2
My = (y1 + y2)/2
Solution
Mx = 4
My = -6
Jx = -10
Jy = 5
4 = (-10 + xk)/2 Multiply by 2
4*2 = -10 + xk Add 10 to both sides
8 + 10 = xK
18 = xK
-6 = (5 + ky) / 2 Multiply by 2
-6*2 = 5 + ky
-12 = 5 + ky Subtract 5 from both sides
-12 - 5 = ky
ky = - 17
K = (18,-17)
