Question

If P1 is (3,-3) and the midpoint is (-2,1), what are the points of P2?

Answer 1

Explanation:

Hey there!

The points P1(3,-3) and midpoint is (-2,1). Let (X,y) be the end point.

Note: Find through using midpoint formula.

midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )

Put all values.

(\frac{X+3}{2},\frac{-3+y}{2})

Since they are equal, equating with it's corresponding components.

\frac{3 + x}{2} = - 2

-2 = 3 + x

-4 -3= x

Therefore, X= -7.

Now,

`( - 3 + y)/(2) = 1`

`- 3 + y = 2`

Therefore, y= 5

Therefore, the other end point is (3,5).

Hope it helps...