Question

Find the midpoint
(-4,-2)(2,-3)

Answer 1

To find the midpoint of the two points \((-4, -2)\) and \((2, -3)\), you can use the midpoint formula, which is:

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

Here, \((x_1, y_1) = (-4, -2)\) and \((x_2, y_2) = (2, -3)\).

Now, plug the values into the formula:

\[
\text{Midpoint} = \left( \frac{-4 + 2}{2}, \frac{-2 + (-3)}{2} \right)
\]

Calculating each component:

1. For the x-coordinate:
\[
\frac{-4 + 2}{2} = \frac{-2}{2} = -1
\]

2. For the y-coordinate:
\[
\frac{-2 - 3}{2} = \frac{-5}{2} = -\frac{5}{2}
\]

Thus, the midpoint is:

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

So, the final answer is:

\[
\boxed{\left( -1, -\frac{5}{2} \right)}
\]