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

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- Oct 20th 2006, 08:44 AMbobby77need help please with midpoint
Find the midpoint of the line segment from A(2, 9) to B(4, 5).

- Oct 20th 2006, 08:49 AMAfterShock
- Oct 20th 2006, 08:54 AMearboth
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 $\displaystyle M \left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} \right)$

In your case M(3, 7)

EB - Oct 20th 2006, 11:32 AMSoroban
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: $\displaystyle (2 + 1,\,9 - 2) \:=\:(3,7)$