Here's the question you clicked on:
ujuge321
Find the distance between the two points (5,-3) and (-1,-6) and the midpoint of the line segment that joins the two points.
\[y _{2}-y_{1}/x _{2}-x_{1}\]
plug your points into that question
that is your slope matt.... distance would be \[\sqrt{(x _2-x _1)^2+(y _2-y _1)^2}\]
mid point will be \[(\frac{x _1+x _2}{2},\frac{y _1+y _2}{2})\]
so your midpont would be \[\frac{5+-1}{2},\frac{-3+-6}{2}= (2,\frac{-9}{2})\]
distance will be \[\sqrt{(-1-5)^2+(-6-(-3))^2}=\sqrt{(-6)^2+(-3)^2}=\sqrt{36+9}=\sqrt{45}=\sqrt{9*5}=3\sqrt{5}\]
\[\sqrt{45}=\sqrt{9*5}=3\sqrt{5}\]