Find the length of the line segment shown below.

Answer:
The end points of line segment are:
[tex](x_1,y_1) = (5,4)\\(x_2,y_2) = (-4,-3)[/tex]
Using distance formula,
Distance = [tex]\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}[/tex] = [tex]\sqrt{(-4-5)^{2}+(-3-4)^{2}} = \sqrt{(-9)^{2}+(-7)^{2}} = \sqrt{81+49}=\sqrt{130} units[/tex]