Appendix B - Coordinate Geometry and Lines - B Exercises - Page A15: 3

$\sqrt {74}$

To find the distance between $(6,-2)$ and $(-1,3)$, we use the distance formula: $d=\sqrt {(x_{2}−x_{1})^{2}+(y_{2}−y_{1})^{2}}$. We plug in the given x and y values: $d=\sqrt {(-1−(6))^{2}+(3-(-2))^{2}}$. We then simplify to arrive at the answer: $d=\sqrt {(-7)^{2}+(5)^{2}}=\sqrt {74}$