Answer
$\sqrt 130\approx11.402$ 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 (-4,-6) and (-1,5) is $d=\sqrt ((-1-(-4))^{2}+(5-(-6))^{2})=\sqrt ((3)^{2}+(11)^{2})=\sqrt (9+121)=\sqrt 130\approx11.402$ units
