# need help please with midpoint

• Oct 20th 2006, 08:44 AM
bobby77
Find the midpoint of the line segment from A(2, 9) to B(4, 5).
• Oct 20th 2006, 08:49 AM
AfterShock
Quote:

Originally Posted by bobby77
Find the midpoint of the line segment from A(2, 9) to B(4, 5).

The midpoint formula is the (average of the x's, the average of the y's).

In this case: ((2 + 4)/2, (9 + 5)/2)

Therefore,

(6/2, 14/2)

Simplified: (3, 7).
• Oct 20th 2006, 08:54 AM
earboth
Quote:

Originally Posted by bobby77
Find the midpoint of the line segment from A(2, 9) to B(4, 5).

Hi,

the coordinates of the midpoint are the average values of the two x-values and the two y-values.

Given points: $\displaystyle P_1(x_1, y_1), P_2(x_2, y_2)$

The the midpoint is $\displaystyle M \left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} \right)$

EB
• Oct 20th 2006, 11:32 AM
Soroban
Hello, Bobby77!

You could baby-talk your way through this one . . .

Quote:

Find the midpoint of the line segment from A(2, 9) to B(4, 5).

To travel from $\displaystyle A(2,9)$ to $\displaystyle B(4,5)$,
. . we must move 2 units to the right and 4 units down.

To travel halfway to $\displaystyle B$,
. . we must move 1 unit to the right and 2 units down.

This places us at: $\displaystyle (2 + 1,\,9 - 2) \:=\:(3,7)$