Question

The midpoint of the line segment from P1 to P2 is (-6,4). If P1=(-6,9)​, what is P2?

Answer 1

Step-by-step explanation:

Let coordinates of the mid point be x, y

Flat coordinates of P1 be X1, Y1 and P2 be X2, Y2

Buy midpoint theorem,

X = ( X 1 + X 2) / 2 and y = (Y1 + Y2 )/ 2

Substituting the values of X X 1 and y y1 we get

- 1 = - 3 + X 2 / 2 and 4 = 6 + Y 2 / 2

Multiplying throughout by 2

X2 - 3 = - 2 and Y2 + 6 = 8

Therefore X2 = 1 and Y2 = 2

And therefore the coordinates of P2 are 1, 2