Question

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

Answer 1

The answer is

`( (1)/(2) \: , \: 4)`

Explanation:

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

`M = ( (x_1 + x_2)/(2) , \: (y_1 + y_2)/(2) )\\`

From the question the points are

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

The midpoint is

`M = ( (3 - 2)/(2) \: , \: (5 + 3)/(2) ) \\ = ( (1)/(2) \: , \: (8)/(2) )`

We have the final answer as

`( (1)/(2) \: , \: 4) \\`

Hope this helps you