Use the midpoint formula to calculate the midpoint of AM¯¯¯¯¯¯¯¯¯ (A 5,2 M -2,-3) Responses (−9, −8) (−9, −8) (12, 7) (12, 7) (1, −1) (1, −1) (1.5, −0.5)

Answer 1

To find the midpoint of the segment \( AM \) with points \( A(5, 2) \) and \( M(-2, -3) \), we can use the midpoint formula, which is given by:

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

Here, \( A(x_1, y_1) = (5, 2) \) and \( M(x_2, y_2) = (-2, -3) \).

Now, we can calculate the coordinates of the midpoint:

1. Calculate the x-coordinate: \[ x_{mid} = \frac{5 + (-2)}{2} = \frac{5 - 2}{2} = \frac{3}{2} = 1.5 \]

2. Calculate the y-coordinate: \[ y_{mid} = \frac{2 + (-3)}{2} = \frac{2 - 3}{2} = \frac{-1}{2} = -0.5 \]

Putting it together, the midpoint \( M \) is:

\[ \text{Midpoint} = (1.5, -0.5) \]

Thus, the correct response is (1.5, -0.5).