Question

What is the midpoint of the segment shown below?
10
(2.4)
O A. (2, -3)
O B. (2.-)
3
-
- 10
10
O C. (4.-)
(2.-7)
- 10 +
O D. (4, -3)

Answer 1

The midpoint of the coordinate passing through (2, 4) and (2, -7) is $(2, \frac{-5}{2})$

The midpoint of a line

The formula for calculating the midpoint of a line is expressed as:

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

Given the coordinate points (2, 4) and (2, -7). Substituting this values

$M(x,y) =(\frac{2+2}{2}, \frac{2-7}{2})\\M(x,y) =(\frac{4}{2}, \frac{-5}{2})\\M(x,y) =(2, \frac{-5}{2})$

Hence the midpoint of the coordinate passing through (2, 4) and (2, -7) is $(2, \frac{-5}{2})$

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