need help please with midpoint

**bobby77** · October 20th 2006, 08:44 AM

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

**AfterShock** · October 20th 2006, 08:49 AM

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).

**earboth** · October 20th 2006, 08:54 AM

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: $P_1(x_1, y_1), P_2(x_2, y_2)$

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

In your case M(3, 7)

EB

**Soroban** · October 20th 2006, 11:32 AM

Hello, Bobby77!

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

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

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

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

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

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