Question

what is the midpoint of the line segment with endpoints (3.2, 2.5) and (1.6, -4.5)?
a. (4.8, -2)
b. (4.8, -1)
c. (2.4, -2)
d. (2.4, -1)

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here $x_1=3.2$, $y_1 = 2.5$, $x_2=1.6$, and $y_2=-4.5$.

Step2: Calculate the x - coordinate of the mid - point

$x=\frac{3.2 + 1.6}{2}=\frac{4.8}{2}=2.4$

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

$y=\frac{2.5+( - 4.5)}{2}=\frac{2.5 - 4.5}{2}=\frac{-2}{2}=-1$

Answer:

D. $(2.4, - 1)$