Question

Description
Find the midpoint (4,3) and (-6, 5)

Answer 1

Answer:

The answer is

( - 1 , - 1 )

Step-by-step explanation:

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

$M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(4,3) and (-6, 5)

The midpoint is

$M = ( \frac{ 4 - 6}{2} \: , \: \frac{3 - 5}{2} ) \\ = ( - \frac{2}{2} \: , \: - \frac{2}{2} )$

We have the final answer as

( - 1 , - 1 )

Hope this helps you

Answer 2

Answer:  (-1, 4)

Step-by-step explanation:

Midpoint is the the point that is equal distance from the given endpoints.

(x₁, y₁) = (4, 3)         (x₂, y₂) = (-6, 5)

$M_x=\dfrac{x_1+x_2}{2}\qquad \qquad \qquad M_y=\dfrac{y_1+y_2}{2}\\\\\\M_x=\dfrac{4+(-6)}{2}\qquad \qquad \quad M_y=\dfrac{3+5}{2}\\\\\\M_x=\dfrac{-2}{2}\qquad \qquad \qquad \qquad M_y=\dfrac{8}{2}\\\\\\x=-1\qquad \qquad \qquad \qquad \qquad y=4$      -->     (-1, 4)