A line segment has endpoints (-2,-3) and (4,4). Find the length of the segment and find the midpoint.

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$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ -2 &,& -3~) % (c,d) &&(~ 4 &,& 4~) \end{array} \\\\\\ d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√([4-(-2)]^2+[4-(-3)]^2)\implies d=√((4+2)^2+(4+3)^2) \\\\\\ d=√(36+49)\implies \boxed{d=√(85)}\\\\ -------------------------------$

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ -2 &,& -3~) % (c,d) &&(~ 4 &,& 4~) \end{array}\qquad % coordinates of midpoint \left(\cfrac{ x_2 + x_1}{2}\quad ,\quad \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{4-2}{2}~~,~~\cfrac{4-3}{2} \right)\implies \left(\cfrac{2}{2}~~,~~\cfrac{1}{2} \right)\implies \boxed{\left(1~,~(1)/(2) \right)}$

A line segment has endpoints (-2,-3) and (4,4). Find the length of the segment and find the midpoint.

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