Question

is point z the midpoint of $overline{xy}$?
x(-2.4, 3)
z(1.4, 2.7)
y(4.8, 2.6)
a. yes. the midpoint of $overline{xy}$ is (1.4, 2.7)
b. no. the midpoint of $overline{xy}$ is (1.2, 2.8)

Explanation:

Step1: Recall mid - point formula

For two points $X(x_1,y_1)$ and $Y(x_2,y_2)$, the mid - point $M$ has coordinates $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here $x_1=-2.4,y_1 = 3,x_2 = 4.8,y_2=2.6$.

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

$x=\frac{-2.4 + 4.8}{2}=\frac{2.4}{2}=1.2$.

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

$y=\frac{3 + 2.6}{2}=\frac{5.6}{2}=2.8$.

Answer:

B. No. The midpoint of $\overline{XY}$ is $(1.2,2.8)$