Question

7) Find the midpoint of the line segment joining the points P₁ and P₂.
P1 = (1,3); P2 = (6,8)

Answer 1

`~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ P1(\stackrel{x_1}{1}~,~\stackrel{y_1}{3})\qquad P2(\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 +1}{2}~~~ ,~~~ \cfrac{ 8 +3}{2} \right) \implies \left(\cfrac{ 7 }{2}~~~ ,~~~ \cfrac{ 11 }{2} \right)\implies \left(3(1)/(2)~~,~~5(1)/(2) \right)`