Question

Calculate midpoint M of segment AB
A coordinate is (-1,2)
B coordinate is (4,-2)

Answer 1

To calculate the midpoint \( M \) of segment \( AB \), we use the midpoint formula:

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

Where \( A \) has coordinates \( (x_1, y_1) \) and \( B \) has coordinates \( (x_2, y_2) \).

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

Now plug in the values:

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

Calculating each component:

1. \( \frac{-1 + 4}{2} = \frac{3}{2} = 1.5 \)
2. \( \frac{2 - 2}{2} = \frac{0}{2} = 0 \)

So the midpoint \( M \) is:

\[
M = (1.5, 0)
\]

Thus, the midpoint \( M \) of segment \( AB \) is \( (1.5, 0) \).