Question

Find the length of the line segment shown below.

Answer 1

Answer:

The end points of line segment are:

$(x_1,y_1) = (5,4)\\(x_2,y_2) = (-4,-3)$

Using distance formula,

Distance = $\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}$ = $\sqrt{(-4-5)^{2}+(-3-4)^{2}} = \sqrt{(-9)^{2}+(-7)^{2}} = \sqrt{81+49}=\sqrt{130} units$