Line segment DE is graphed on the coordinate plane below.
One end of the line segment D is at (-2, 7), and the other end E is at (1, 3).
What is the length of segment DE?
A.
3 units
B.
4 units
C.
5 units
D.
7 units
To find the length of segment DE, we can use the distance formula:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Using the coordinates:
x1 = -2, y1 = 7
x2 = 1, y2 = 3
Distance = sqrt((1 - (-2))^2 + (3 - 7)^2)
Distance = sqrt(3^2 + (-4)^2)
Distance = sqrt(9 + 16)
Distance = sqrt(25)
Distance = 5
Therefore, the length of segment DE is 5 units.
C. 5 units