Question

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

Answer 1

The answer is

( - 1 , - 1 )

Explanation:

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

`M = ( (x1 + x2)/(2) , \: (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 = ( ( 4 - 6)/(2) \: , \: (3 - 5)/(2) ) \\ = ( - (2)/(2) \: , \: - (2)/(2) )`

We have the final answer as

( - 1 , - 1 )

Hope this helps you

Answer 2

Answer: (-1, 4)

Explanation:

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

(x₁, y₁) = (4, 3) (x₂, y₂) = (-6, 5)

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