Question

How would I find the coordinate of a point Q if P is the midpoint of NQ (with line over it). P is 3, -2 and N is 5, -3

Answer 1

`~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ N(\stackrel{x_1}{5}~,~\stackrel{y_1}{-3})\qquad Q(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x +5}{2}~~~ ,~~~ \cfrac{ y -3}{2} \right) ~~ = ~~\underset{midpoint}{\stackrel{\textit{\LARGE P}}{(3~~,~~-2)}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{x+5}{2}=3\implies x+5=6\implies \boxed{x=1} \\\\\\ \cfrac{ y -3}{2}=-2\implies y-3=-4\implies \boxed{y=-1}`