Question

find the midpoint of the points (2, 7) and (8, 4).
(6, 3)
(\frac{11}{2}, 5)
(5, \frac{11}{2})
(10, 11)

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 $x_1=2$, $x_2 = 8$. Then $\frac{x_1+x_2}{2}=\frac{2 + 8}{2}=\frac{10}{2}=5$.

Step3: Identify $y$ - coordinates

Here $y_1=7$, $y_2 = 4$. Then $\frac{y_1+y_2}{2}=\frac{7 + 4}{2}=\frac{11}{2}$.

Answer:

C. $(5,\frac{11}{2})$