Question 1

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)

Question 2

$\bf \textit{middle point of 2 points }\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ -2}}\quad ,&{{ 3}})\quad % (c,d) &({{ (1)/(2)}}\quad ,&{{ (3)/(2)}}) \end{array}\qquad % coordinates of midpoint \left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)$

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

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