Question

Question content area top
Part 1
Find the midpoint of the line segment joining the points ​(44​,55​) and ​(negative 2−2​,negative 5−5​).
Question content area bottom
Part 1
The midpoint is enter your response here.
​(Type an ordered pair. Use integers or simplified fractions for any numbers in the​ expression.)

Answer 1

To find the midpoint \( M \) of the line segment joining the points \( (44, 55) \) and \( (-2, -5) \), you can use the midpoint formula:

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

where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the two points.

In this case, let:

- \( (x_1, y_1) = (44, 55) \)
- \( (x_2, y_2) = (-2, -5) \)

Now plug in the values:

\[
M = \left( \frac{44 + (-2)}{2}, \frac{55 + (-5)}{2} \right)
\]

Calculating each component:

1. For the \( x \)-coordinate:

\[
\frac{44 - 2}{2} = \frac{42}{2} = 21
\]

2. For the \( y \)-coordinate:

\[
\frac{55 - 5}{2} = \frac{50}{2} = 25
\]

So the midpoint is:

\[
M = (21, 25)
\]

Therefore, the midpoint of the line segment joining the points \( (44, 55) \) and \( (-2, -5) \) is:

\[
\boxed{(21, 25)}
\]