Answer:
C. 5 points
Explanation:
The length of the segment DE is equal to the distance from point D to point E.
The distances between two points with coordinates (x1, y1) and (x2, y2) can be calculated as:
[tex]\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Then, the distance from D(-2, 7) to E(1, 3) is equal to:
[tex]\begin{gathered} \sqrt[]{(1-(-2))^2+(3-7)^2} \\ \sqrt[]{(1+2)^2+(-4)^2} \\ \sqrt[]{3^2+(-4)^2} \\ \sqrt[]{9+16} \\ \sqrt[]{25} \\ 5 \end{gathered}[/tex]
Therefore, the length of segment DE is 5 points.
