Question

LM has one endpoint

L(-2,-9) and a midpoint
P(3,2). Find the
coordinates of the
other endpoint, M.

Thank you!

Answer 1

coordinate of M (8,13)

Explanation:

LM has L(-2,-9), P(3,2) mid point of LM

coordinate of mid point= x=x1+x1/2 and y=y1+y2/2

x1=-2 , x2 is the x of point M

xof P= (-2+x2)/2

3(2)=-2+x2

6=-2+x2 ⇒ x2=6+2=8

y of P= y1+y2/2

2=-9+y2/2

y2=2(2)+9⇒ y2=13

coordinate of M (8,13)