contestada

Find the coordinates of the midpoint of a segment with the endpoints
(-4, -14) & (-22, 9).
Select one:
a. (-18, -4)
b. (-15, -2.5)
c. (-13, -2.5)
d. (-8, -1)

Respuesta :

ALin03
The midpoint formula is basically just the average of the two points. Here it is: [tex]( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]
Then, you plug the points in. The answer is (-13,-5/2) or C
[tex]\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-4}~,~\stackrel{y_1}{-14})\qquad (\stackrel{x_2}{-22}~,~\stackrel{y_2}{9}) \qquad % coordinates of midpoint \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{-22-4}{2}~~,~~\cfrac{9-14}{2} \right)\implies \left(-13~,~-\frac{5}{2} \right)\implies \left(-13~,~-2\frac{1}{2} \right)[/tex]