Respuesta :

Answer:

The length of this line is of 5 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 them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

In this question:

The length of the line is the distance between these two points. So

[tex]d = \sqrt{(5-2)^2 + (9-5)^2} = \sqrt{3^2+4^2} = \sqrt{25} = 5[/tex]

The length of this line is of 5 units.