Answer:
B. [tex] (2, -\frac{5}{2}) [/tex]
Step-by-step explanation:
Given:
(2, 4) and (2, -9)
Required:
Midpoint of the vertical line with the above endpoints
Solution:
Apply the midpoint formula, which is:
[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]
Where,
(2, 4) = (x_1, y_1)
(2, -9) = (x_2, y_2)
Plug in the values into the equation:
[tex] M(\frac{2 + 2}{2}, \frac{4 + (-9)}{2}) [/tex]
[tex] M(\frac{4}{2}, \frac{-5}{2}) [/tex]
[tex] M(2, -\frac{5}{2}) [/tex]
