# trying to help my sister, can someone help me

#### thetomps

##### Junior Member
I am trying to help my sister can someone help me?

Find the midpoint of a line segment between the points (4,5) and (-14, -7) in the coordinate plane.

#### happy

##### Full Member
The midpoint of a segment with endpoints (x1 , y1) and (x2 , y2) has coordinates

(x1+x2)/2, (y1+y2)/2

#### thetomps

##### Junior Member
so what do I do to solve happy (sorry I am so lost)

#### happy

##### Full Member
use the formula I gave

(4,5)= (x1,y1)

(-14, -7)= (x2,y2)

(-5, 1) ?

#### stapel

##### Super Moderator
Staff member
Check the sign on your y-coordinate.

Eliz.

#### soroban

##### Elite Member
Hello, thetomps!

Find the midpoint of a line segment between the points (4,5) and (-14, -7) in the coordinate plane.
The midpoint between (x<sub>1</sub>,y<sub>1</sub>) and x<sub>2</sub>,y<sub>2</sub>)

. . is located at: .x = (x<sub>1</sub> + x<sub>2</sub>)/2, .y = (y<sub>1</sub> + y<sub>2</sub>)/2

In baby-talk: "Average the x's, average the y's".

We have: .x .= .[4 + (-14)]/2 .= .-10/2 .= .-5

. . . . . . . . .y .= .[5 + (-7)]/2 .= .-2/2 = -1

Therefore, the midpoint is: .(-5,-1)