Answer:
The length for segment AB is 5 units
Step-by-step explanation:
Distance Between two Points in the Plane
Given two points A(x1,y1) and B(x2,y2), the distance between them is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We must find the length for the segment AB. The coordinates of the endpoints are A(-3,2) B(0,6).
Calculating the distance:
[tex]d=\sqrt{(0+3)^2+(6-2)^2}[/tex]
[tex]d=\sqrt{3^2+4^2}[/tex]
[tex]d=\sqrt{9+16}[/tex]
[tex]d=\sqrt{25}[/tex]
d = 5 units
The length for segment AB is 5 units
