ok yall, here is the legic 100% math answer with math actually in it. wow!
use the distance formula (wow math)
the distance betwen 2 points (x₁,y₁) and (x₂,y₂) is
\(D= \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\)
given (-3,-2) and (2,3)
(x,y)
x₁=-3
y₁=-2
x₂=2
y₂=3
\(D= \sqrt{(-3-2)^2+(-2-3)^2}\)
\(D= \sqrt{(-5)^2+(-5)^2}\)
\(D= \sqrt{25+25}\)
\(D= \sqrt{50}\)
\(D= (\sqrt{25})(\sqrt{2})\)
\(D= 5\sqrt{2}\)
the distance between the 2 points (-3,-2) and (2,3) is 5√2 or aprox 7.0710678 units
answer is 5√2 units or aprox 7.0710678 units
