Answer
$\sqrt 197\approx14.036$ units
Work Step by Step
We know that the distance $d$ between two points $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is given by $d=\sqrt ((x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2})$.
Therefore, the distance between the points (-6,3) and (8,4) is $d=\sqrt ((8-(-6))^{2}+(4-3)^{2})=\sqrt ((14)^{2}+(1)^{2})=\sqrt (196+1)=\sqrt 197\approx14.036$ units