Question

What is the midpoint of the vertical line segment graphed below? (2, 4), (2, -9) A. (4, -5). B. (2, -5/2). C. (2, -5). D. (4, 5/2)

Answer 1

B.
`(2, -(5)/(2))`

Explanation:

Given:

(2, 4) and (2, -9)

Required:

Midpoint of the vertical line with the above endpoints

Solution:

Apply the midpoint formula, which is:

`M((x_1 + x_2)/(2), (y_1 + y_2)/(2))`

Where,

(2, 4) = (x_1, y_1)

(2, -9) = (x_2, y_2)

Plug in the values into the equation:

`M((2 + 2)/(2), (4 + (-9))/(2))`

`M((4)/(2), (-5)/(2))`

`M(2, -(5)/(2))`