[tex]( x_{1}, y_{1} )[/tex] = (-3, 2)
[tex]( x_{2} , y_{2} ) [/tex] = (9, -3)
The distance between two points
= [tex] \sqrt{ ( x_{2} - x_{1}) ^{2} + ( y_{2} - y_{2}) ^{2} }[/tex]
= [tex] \sqrt{ (9 - (-3) )^{2} + (-3 -2)^{2} } [/tex]
= [tex] \sqrt{ (9 + 3)^{2} + (-3 -2)^{2} } [/tex]
= [tex] \sqrt{ (12)^{2} + (-5)^{2}} [/tex]
= [tex] \sqrt{144 + 25} [/tex]
= [tex] \sqrt{169} [/tex]
= 13
Hence, the distance between the two points is 13.
