Question

The midpoint of Jk is
M(4,-6). Find coordinates
of endpoint K. if J-10,5)

Answer 1

K = (18,-17)

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)