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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.

Sagot :

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.

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