91影视

Find the length of the line segment. Assume that the endpoints of each line segment have integer coordinates.

Looking at the x-axis, it can be said that every tick is equal to 1 from having 6 marks with 6 and -6 being the 6th marks on both ends. On the other hand, on y-axis, every tick is equal to 3 because of the 6 marks and 18 and -18 being the 6th marks. The first point from right to left is 1 unit to the right and 3 units above the origin. Thus, (1, 3) = (x₁, y₁) .

The second point is 5 units to the right and 15 units above the origin. Thus, (5, 15) = (x₂, y₂) .

The length of the line segment is the distance between the points $(x_1,y_1)=(1,3)\mathrm{and}(x_2,y_2)=(5,15)$.

Using the distance formula the length d is

localid="1645763792722" $$\begin{gathered} d=\sqrt{{\left(x_2-x_1\right)}^2+{(y_2-y_2)}^2} \\ d=\sqrt{{\left(5-1\right)}^2+{(15-3)}^2} \\ d=\sqrt{{\left(4\right)}^2+{\left(12\right)}^2} \\ d=\sqrt{16+144} \\ d=\sqrt{160} \\ d=4\sqrt{10} \end{gathered}$$

The length of line segment is$4\sqrt{10}$.