Question

midpoint
(3,10) and (-2,-5)

Answer 1

To find the midpoint between the points \( (3, 10) \) and \( (-2, -5) \), you can use the midpoint formula:

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

Where \( (x_1, y_1) \) is the first point and \( (x_2, y_2) \) is the second point.

Plugging in the coordinates:

- \( x_1 = 3 \)
- \( y_1 = 10 \)
- \( x_2 = -2 \)
- \( y_2 = -5 \)

Now calculate:

\[
M = \left( \frac{3 + (-2)}{2}, \frac{10 + (-5)}{2} \right)
\]

\[
M = \left( \frac{3 - 2}{2}, \frac{10 - 5}{2} \right)
\]

\[
M = \left( \frac{1}{2}, \frac{5}{2} \right)
\]

So, the midpoint is

\[
\left( \frac{1}{2}, \frac{5}{2} \right) \text{ or } (0.5, 2.5).
\]