Question

Find the midpoint of the segment whose endpoints are (-2,3) and (1/2, 3/2)

A.) (-3/4, 9/4)

B.) (3/4, 9/4)

C.) (1/4, 9/4)

D.) (-1/4, 9/4)

Answer 1

`\bf \left( \cfrac{-2+(1)/(2)}{2}\quad ,\quad \cfrac{3+(3)/(2)}{2}\right)\implies \left( \cfrac{-(3)/(2)}{2}\quad ,\quad \cfrac{(9)/(2)}{2} \right) \\\\\\ \left( \cfrac{-(3)/(2)}{(2)/(1)}\quad ,\quad \cfrac{(9)/(2)}{(2)/(1)} \right)\implies \left( -\cfrac{3}{2}\cdot \cfrac{1}{2}\quad ,\quad \cfrac{9}{2}\cdot \cfrac{1}{2} \right)\implies \left( -\cfrac{3}{4}\quad ,\quad \cfrac{9}{4} \right)`