Question

#5
calculate the midpoint of the line segment formed with the endpoints shown.
(6, -2) and (3, 7)
a (4, 2)
b (3, 5)
c (4.5, 2.5)
d (3.5, 5.5)

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 $x_1,y_1,x_2,y_2$

Here $x_1 = 6,y_1=-2,x_2 = 3,y_2 = 7$.

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

$x=\frac{6 + 3}{2}=\frac{9}{2}=4.5$.

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

$y=\frac{-2+7}{2}=\frac{5}{2}=2.5$.

Answer:

C. $(4.5,2.5)$