Question

If point Q is the midpoint of segment AM, find midpoint Q.
Point A: (5,2)
Point M: (-2, -3)

Answer 1

To find the midpoint \( Q \) of segment \( AM \) with points \( A(5, 2) \) and \( M(-2, -3) \), you can use the midpoint formula:

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

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

Substituting the values:

- \( x_1 = 5 \)
- \( y_1 = 2 \)
- \( x_2 = -2 \)
- \( y_2 = -3 \)

Now plug in these values into the formula:

\[
Q_x = \frac{5 + (-2)}{2} = \frac{5 - 2}{2} = \frac{3}{2} = 1.5
\]

\[
Q_y = \frac{2 + (-3)}{2} = \frac{2 - 3}{2} = \frac{-1}{2} = -0.5
\]

Thus, the coordinates of midpoint \( Q \) are:

\[
Q = (1.5, -0.5)
\]

Therefore, the midpoint \( Q \) is at \( (1.5, -0.5) \).