Question

Given the endpoints G(0.4, 0.8) and H (3.9, -1.4), calculate the location of midpoint M.
A. (4.3, -0.6)
B. (2.15, -0.3)
C. (-1.75, 1.1)

Answer 1

To calculate the midpoint \( M \) of the endpoints \( G(0.4, 0.8) \) and \( H(3.9, -1.4) \), we use the midpoint formula:

\[
M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]

Where \( (x_1, y_1) = (0.4, 0.8) \) and \( (x_2, y_2) = (3.9, -1.4) \).

Now, we can calculate the coordinates of the midpoint \( M \):

1. Calculate the x-coordinate:
\[
\frac{0.4 + 3.9}{2} = \frac{4.3}{2} = 2.15
\]

2. Calculate the y-coordinate:
\[
\frac{0.8 + (-1.4)}{2} = \frac{0.8 - 1.4}{2} = \frac{-0.6}{2} = -0.3
\]

Putting these together, we find that the midpoint \( M \) is at:

\[
M(2.15, -0.3)
\]

Thus, the correct answer is \( \text{B. } (2.15, -0.3) \).