Question

Find the coordinates of the midpoint

If the endpoint of line segment PQ are at P(-8,16) and Q(6,-8)
A. M(-1,4) B. M(-2,8)
B. M(2,12) D. M(-7,-12)

Answer 1

`\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ P(\stackrel{x_1}{-8}~,~\stackrel{y_1}{16})\qquad Q(\stackrel{x_2}{6}~,~\stackrel{y_2}{-8}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{6-8}{2}~~,~~\cfrac{-8+16}{2} \right)\implies \left( \cfrac{-2}{2}~,~\cfrac{8}{2} \right)\implies (-1~,~4)`