Question

which is the midpoint of the line segment with endpoints (1, 2) and (7, 8)?
a. (√6, √6)
b. (3, 3)
c. (4, 3)
d. (4, 4)
e. (4, 5)

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 the values of $x_1,x_2,y_1,y_2$

Here $x_1 = 1,y_1=2,x_2 = 7,y_2 = 8$.

Step3: Calculate the x - coordinate of the mid - point

$x=\frac{1 + 7}{2}=\frac{8}{2}=4$.

Step4: Calculate the y - coordinate of the mid - point

$y=\frac{2+8}{2}=\frac{10}{2}=5$.

Answer:

E. $(4,5)$