tayden2003 tayden2003
  • 23-10-2020
  • Mathematics
contestada

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

Respuesta :

Sueraiuka
Sueraiuka Sueraiuka
  • 23-10-2020

Step-by-step 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,

[tex] \frac{ - 3 + y}{2} = 1[/tex]

[tex] - 3 + y = 2[/tex]

Therefore, y= 5

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

Hope it helps...

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