Question

Question content area top
Part 1
Find the midpoint of the line segment with the endpoints A and B.
​A(1010​,44​); ​B(66​,22​)
Question content area bottom
Part 1
The midpoint of the line segment is left parenthesis 3 comma 7 right parenthesis

Answer 1

To find the midpoint of the line segment with endpoints \( A(1010, 44) \) and \( B(66, 22) \), use the midpoint formula:

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

Here, \( (x_1, y_1) = (1010, 44) \) and \( (x_2, y_2) = (66, 22) \).

Now, we can calculate the midpoint:

1. Calculate the x-coordinate of the midpoint:

\[
\frac{x_1 + x_2}{2} = \frac{1010 + 66}{2} = \frac{1076}{2} = 538
\]

2. Calculate the y-coordinate of the midpoint:

\[
\frac{y_1 + y_2}{2} = \frac{44 + 22}{2} = \frac{66}{2} = 33
\]

Thus, the midpoint of the line segment is:

\[
\left( 538, 33 \right)
\]

So, the correct answer is:

**The midpoint of the line segment is** \( (538, 33) \).