The point S is at (-2,-8)
The point Q is at (8,7)
Distance formula is express as:
[tex]\text{ Distance=}\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2_{^{}}}[/tex]The coordinates are:
[tex]\begin{gathered} (x_1,y_1)=(-2,-8) \\ (x_2,y_2)=(8,7) \end{gathered}[/tex]SUbstitute the value and simplify for the distance
[tex]\begin{gathered} \text{ Distance=}\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2_{^{}}} \\ \text{Distance}=\sqrt[]{(8-(-2)^2+(7-(-8))^2} \\ \text{Distance}=\sqrt[]{(8+2)^2+(7+8)^2}_{} \\ \text{Distance}=\sqrt[]{10^2+15^2} \\ \text{Distance}=\sqrt[]{100+225} \\ \text{Distance}=\sqrt[]{325} \\ \text{Distance}=18.02\text{ unit} \end{gathered}[/tex]The point S and Q are 18.02 unit away