Question

Question 2 Line segment DE is graphed on the coordinate plane below. h 8 7 6 5 4 3 2 1 1 + 1 What is the length of segment DE? 3 units 4 units 5 units 7 units

Answer 1

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:

$\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}$

Then, the distance from D(-2, 7) to E(1, 3) is equal to:

$\begin{gathered} \sqrt[]{(1-(-2))^2+(3-7)^2} \\ \sqrt[]{(1+2)^2+(-4)^2} \\ \sqrt[]{3^2+(-4)^2} \\ \sqrt[]{9+16} \\ \sqrt[]{25} \\ 5 \end{gathered}$

Therefore, the length of segment DE is 5 points.