Question

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

Answer 1

Answer:

The answer is

$( \frac{1}{2} \: , \: 4)$

Step-by-step explanation:

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

$M = ( \frac{x_1 + x_2}{2} , \: \frac{y_1 + y_2}{2} )$

From the question the points are

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

The midpoint is

$M = ( \frac{3 - 2}{2} \: , \: \frac{5 + 3}{2} ) \\ = ( \frac{1}{2} \: , \: \frac{8}{2} )$

We have the final answer as

$( \frac{1}{2} \: , \: 4)$

Hope this helps you