Answer:
AB = 10
Step-by-step explanation:
Given:
Two points are given [tex]A(-5, 3)[/tex] and [tex]B(3, -3)[/tex]
The distance formula of the two points is.
[tex]AB=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
Put given values in above equation.
[tex]x=\sqrt{(3-(-5))^{2}+(-3-3)^{2}}[/tex]
[tex]x=\sqrt{(3+5)^{2}+(-6)^{2}}[/tex]
[tex]x=\sqrt{(8)^{2}+(-6)^{2}}[/tex]
[tex]x=\sqrt{64+36}[/tex]
[tex]x=\sqrt{100}[/tex]
[tex]x=10[/tex]
Therefore, the distance of the line AB is 10
