Answer:
The length of the line segment is of 5.9 units.
Step-by-step explanation:
Distance between two points:
Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between these two points is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
How long is the line segment?
The distance between points P and Q. So
P(1,3), and Q(4,8).
[tex]D = \sqrt{(4-1)^2+(8-3)^2} = \sqrt{3^2 + 5^2} = \sqrt{34} = 5.9[/tex]
The length of the line segment is of 5.9 units.