To find the midpoint of a line segment with given endpoints [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex], we use the midpoint formula:
[tex]\[
\left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\][/tex]
Let's apply this formula step-by-step to the endpoints [tex]\((-5.5, -6.1)\)[/tex] and [tex]\((-0.5, 9.1)\)[/tex]:
1. First, calculate the x-coordinate of the midpoint:
[tex]\[
\frac{-5.5 + (-0.5)}{2} = \frac{-5.5 - 0.5}{2} = \frac{-6}{2} = -3.0
\][/tex]
2. Next, calculate the y-coordinate of the midpoint:
[tex]\[
\frac{-6.1 + 9.1}{2} = \frac{3.0}{2} = 1.5
\][/tex]
Therefore, the coordinates of the midpoint are [tex]\((-3.0, 1.5)\)[/tex].
Comparing this result with the provided choices, the correct answer is:
C. [tex]\((-3,1.5)\)[/tex]
