Question

find the midpoint of the line segment between the points (7, 13) and (-14, 19).
a (-7, 9.5)
b (3.5, 6.5)
c (10.5, 16)
d (-3.5, 16)

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$.

Step2: Identify $x$ - coordinates

Here $x_1=7$, $x_2=-14$. Then $\frac{x_1 + x_2}{2}=\frac{7+( - 14)}{2}=\frac{7 - 14}{2}=\frac{-7}{2}=-3.5$.

Step3: Identify $y$ - coordinates

Here $y_1 = 13$, $y_2=19$. Then $\frac{y_1 + y_2}{2}=\frac{13 + 19}{2}=\frac{32}{2}=16$.

Answer:

D. $(-3.5, 16)$