Question

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

Answer 1

Answer:

• (-18, 17)

Step-by-step 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)

Answer 2

Step-by-step 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.

$midpoint(x) = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )$

Put all values.

$( - 8,4) = (\frac{ 2 + x}{2} , \frac{ - 9 + y}{2} )$

As they are equal, their corresponding elements are equal.

$- 8 = \frac{2 + x}{2}$

$- 16 - 2 = x$

x = -18

$4 = \frac{ - 9 + y}{2}$

$4 \times 2 = - 9 + y$

$8 + 9 = y$

$y = 17$

Therefore, y = 17.

Therefore, H =( -18,17).

Hope it helps....