EXPLANATION:
To find the distance between these two points we must use the following formula:
[tex]d(p1,p2)=\sqrt[]{(x2-x1)^2+(y2-y1)^2}[/tex]Now we must correctly identify which values of the points correspond to x and which to y, and then we must replace them in the distance formula;
points: (-2 ,5) and ( 4, - 3)
x1 y1 x2 y2
Now we must replace in the formula:
[tex]\begin{gathered} d(p1,p2)=\sqrt[]{(4-(-2))^2+(-3-5)^2} \\ d(p1,p2)=\sqrt[]{(4+2)^2+(-8)^2} \\ d(p1,p2)=\sqrt[]{(6)^2+(64)^{}} \\ d(p1,p2)=\sqrt[]{36+64} \\ d(p1,p2)=\sqrt[]{100} \\ d(p1,p2)=10 \\ \text{ANSWEWR: distance equals 10} \end{gathered}[/tex]