Question

Calculate midpoint M of segment AB.
Point A: (-1, 2)
Point B: (4, -2)

A. M is located at (3, 0)
B. M is located at (0.5, 1)
C. M is located at (1.5, 0)
D. M is located at (-2.5, 2)

Answer 1

To find the midpoint \( M \) of segment \( AB \), you can use the midpoint formula:

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

where \( (x_1, y_1) \) are the coordinates of point \( A \) and \( (x_2, y_2) \) are the coordinates of point \( B \).

Given:
- Point \( A: (-1, 2) \) \(\Rightarrow x_1 = -1\), \( y_1 = 2 \)
- Point \( B: (4, -2) \) \(\Rightarrow x_2 = 4\), \( y_2 = -2 \)

Now, we can substitute these values into the formula:

\[
M = \left( \frac{-1 + 4}{2}, \frac{2 + (-2)}{2} \right)
\]

Calculating the x-coordinate:

\[
\frac{-1 + 4}{2} = \frac{3}{2} = 1.5
\]

Calculating the y-coordinate:

\[
\frac{2 - 2}{2} = \frac{0}{2} = 0
\]

Thus, the midpoint \( M \) is:

\[
M = (1.5, 0)
\]

Therefore, the correct answer is:

**C. M is located at (1.5, 0)**.