Question

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)

Answer 1

`\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~,~-(5)/(2) \right)\implies \left(-13~,~-2(1)/(2) \right)`

Answer 2

The midpoint formula is basically just the average of the two points. Here it is:
`( (x_1+x_2)/(2), (y_1+y_2)/(2))`
Then, you plug the points in. The answer is (-13,-5/2) or C