Question

Need an answer fast!!!

Point P has coordinates (1, 3). Point Q has coordinates (4, 8). How long is the line segment? Round to the nearest tenth if necessary.

Answer 1

The length of the line segment is of 5.9 units.

Explanation:

Distance between two points:

Suppose that we have two points,
`(x_1,y_1)` and
`(x_2,y_2)`. The distance between these two points is given by:

`D = √((x_2-x_1)^2+(y_2-y_1)^2)`

How long is the line segment?

The distance between points P and Q. So

P(1,3), and Q(4,8).

`D = √((4-1)^2+(8-3)^2) = √(3^2 + 5^2) = √(34) = 5.9`

The length of the line segment is of 5.9 units.