Q:

Find the midpoint of the line segment defined by the points: (5, 4) and (βˆ’2, 1)

Accepted Solution

A:
[tex]\bf ~~~~~~~~~~~~\textit{middle point of 2 points }\\ \quad \\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~{{ 5}} &,&{{ 4}}~) % (c,d) &&(~{{ -2}} &,&{{ 1}}~) \end{array}\qquad % coordinates of midpoint \left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right) \\\\\\ \left( \cfrac{-2+5}{2}~~,~~\cfrac{1+4}{2} \right)\implies \left(\frac{3}{2}~~,~~\frac{5}{2} \right)\implies \left(1\frac{1}{2}~~,~~2\frac{1}{2} \right)[/tex]