Calculate midpoint M of segment AB.

(1 point)

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

A: (-1,2)
B: 4,-2

1 answer

To find the midpoint \( M \) of the segment defined by points \( A \) and \( B \), we can use the midpoint formula:

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

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

Given: \( A = (-1, 2) \) and \( B = (4, -2) \)

Now, let's plug in the coordinates:

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

\[ M_y = \frac{2 + (-2)}{2} = \frac{0}{2} = 0 \]

So, the coordinates of the midpoint \( M \) are:

\[ M = (1.5, 0) \]

Thus, M is located at (1.5, 0).