What is the distance, in units, between the points $(2, -6)$...

Answer guidance

Correct answer: 3\sqrt{13} Solution: We use the distance formula: \begin{align*} \sqrt{(2 - (-4))^2 + ((-6) - 3)^2} &= \sqrt{6^2 + (-9)^2}\\ & = \sqrt{36 + 81}\\ & = \sqrt{117} = \boxed{3\sqrt{13}}. \end{align*}