The given points are (-3,2) and (5, -2).
We use the distance formula
[tex]d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Where,
[tex]\begin{gathered} x_1=-3 \\ x_2=5 \\ y_1=2 \\ y_2=-2 \end{gathered}[/tex]
Replacing the coordinates in the formula, we have.
[tex]\begin{gathered} d=\sqrt[]{(5-(-3))^2+(-2-2)^2} \\ d=\sqrt[]{(5+3)^2+(-4)^2} \\ d=\sqrt[]{(8)^2+16} \\ d=\sqrt[]{64+16}=\sqrt[]{80}\approx8.9 \end{gathered}[/tex]
Therefore, the distance between the points is 8.9.
