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)

Respuesta :

[tex]\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) &({{ \frac{1}{2}}}\quad ,&{{ \frac{3}{2}}}) \end{array}\qquad % coordinates of midpoint \left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)[/tex]

[tex]\bf \left( \cfrac{-2+\frac{1}{2}}{2}\quad ,\quad \cfrac{3+\frac{3}{2}}{2}\right)\implies \left( \cfrac{-\frac{3}{2}}{2}\quad ,\quad \cfrac{\frac{9}{2}}{2} \right) \\\\\\ \left( \cfrac{-\frac{3}{2}}{\frac{2}{1}}\quad ,\quad \cfrac{\frac{9}{2}}{\frac{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)[/tex]