ah7260251 ah7260251
  • 30-09-2020
  • Mathematics
contestada

If Y is the midpoint of AB, find B given A(3,5) and Y(-2,3)

Respuesta :

Stephen46
Stephen46 Stephen46
  • 30-09-2020

Answer:

The answer is

[tex]( \frac{1}{2} \: , \: 4)[/tex]

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

[tex]M = ( \frac{x_1 + x_2}{2} , \: \frac{y_1 + y_2}{2} )\\[/tex]

From the question the points are

A(3,5) and Y(-2,3)

The midpoint is

[tex]M = ( \frac{3 - 2}{2} \: , \: \frac{5 + 3}{2} ) \\ = ( \frac{1}{2} \: , \: \frac{8}{2} )[/tex]

We have the final answer as

[tex]( \frac{1}{2} \: , \: 4) \\ [/tex]

Hope this helps you

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