To find the midpoint of a line segment with given endpoints, we can use the midpoint formula. The formula for the midpoint [tex]\((M)\)[/tex] of a line segment with endpoints [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex] is:
[tex]\[
M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\][/tex]
Given the endpoints:
[tex]\[
(x_1, y_1) = (-1, 7) \quad \text{and} \quad (x_2, y_2) = (3, -3)
\][/tex]
we can plug these values into the midpoint formula.
First, calculate the x-coordinate of the midpoint:
[tex]\[
x_{\text{mid}} = \frac{x_1 + x_2}{2} = \frac{-1 + 3}{2} = \frac{2}{2} = 1
\][/tex]
Next, calculate the y-coordinate of the midpoint:
[tex]\[
y_{\text{mid}} = \frac{y_1 + y_2}{2} = \frac{7 + (-3)}{2} = \frac{4}{2} = 2
\][/tex]
Therefore, the coordinates of the midpoint are:
[tex]\[
\left( 1, 2 \right)
\][/tex]
So, the correct answer is:
C. [tex]\((1, 2)\)[/tex]
