Question

Find the coordinates of H if X(-8, 4) is the midpoint of GH and G(2, -9).

Answer 1

Explanation:

Hey there!

The given midpoint is; X(-8,4) and G(2,-9).

To find: H

Now; You need to use formula for midpoint.

`midpoint(x) = ( (x1 + x2)/(2) , (y1 + y2)/(2) )`

Put all values.

`( - 8</u><u>,</u><u>4) = (( 2 + x)/(2) </u><u>,</u><u> ( - 9 + y)/(2) )`

As they are equal, their corresponding elements are equal.

`- 8 = (2 + x)/(2)`

`- 16 - 2 = x`

x = -18

`4 = ( - 9 + y)/(2)`

`4 * 2 = - 9 + y`

`8 + 9 = y`

`y = 17`

Therefore, y = 17.

Therefore, H =( -18,17).

Hope it helps....

Answer 2

• (-18, 17)

Explanation:

Given

• Line segment GH with midpoint X(-8, 4) and G(2, -9)

To find

• Coordinates of H(x, y)

Solution

Using midpoint formula

• (2 + x)/2 = -8 ⇒ x + 2 = -16 ⇒ x = -18
• (-9 + y)/2 = 4 ⇒ y - 9 = 8 ⇒ y = 17

So the coordinates of H are

• (-18, 17)