Question

What are the coordinates of the midpoint of GH with endpoints (-2,5) and H(4,1)?

Answer 1

Answer:

(1, 3)

Step-by-step explanation:

Given coordinates of 2 endpoints, G(-2, 5) and H(4, 1), midpoint of AB is calculated as shown below:

Midpoint (M) of GH, for G(-2, 5) and H(4, 1) is given as:

$M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})$

Let $G(-2, 5) = (x_1, y_1)$

$H(4, 1) = (x_2, y_2)$

Thus:

$M(\frac{-2 + 4}{2}, \frac{5 + 1}{2})$

$M(\frac{2}{2}, \frac{6}{2})$

$M(1, 3)$

Coordinates of the midpoint of GH = (1, 3).