## Calculus: Early Transcendentals 8th Edition

$\sqrt {74}$
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: $d=\sqrt {(-7)^{2}+5^{2}}=\sqrt {74}$.