Question

Question content area top
Part 1
Find the midpoint of the line segment with the endpoints A and B.
​A(22​,66​); ​B(44​,88​)
Question content area bottom
Part 1
The midpoint of the line segment is enter your response here. ​(Type an ordered​ pair.)

Answer 1

To find the midpoint of a line segment with endpoints \( A(x_1, y_1) \) and \( B(x_2, y_2) \), you can use the midpoint formula:

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

In this case, the endpoints are \( A(22, 66) \) and \( B(44, 88) \).

Substituting the coordinates into the formula:

\[
\text{Midpoint} = \left( \frac{22 + 44}{2}, \frac{66 + 88}{2} \right)
\]

Calculating the \( x \)-coordinate of the midpoint:

\[
\frac{22 + 44}{2} = \frac{66}{2} = 33
\]

Calculating the \( y \)-coordinate of the midpoint:

\[
\frac{66 + 88}{2} = \frac{154}{2} = 77
\]

Therefore, the midpoint of the line segment is:

\[
\text{Midpoint} = (33, 77)
\]

So, the final answer is:

**(33, 77)**.