Question

write the ordered pair that represents the midpoint of the two given points shown below.

Explanation:

Step1: Identify the coordinates

Let the first point be $(x_1,y_1)$ and the second point be $(x_2,y_2)$. From the graph, assume the first point is $(-2,-3)$ and the second point is $(2,-3)$.

Step2: Use the mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Substitute $x_1=-2$, $y_1 = - 3$, $x_2=2$, and $y_2=-3$ into the formula. For the $x$ - coordinate of the mid - point: $\frac{-2 + 2}{2}=\frac{0}{2}=0$. For the $y$ - coordinate of the mid - point: $\frac{-3+( - 3)}{2}=\frac{-6}{2}=-3$.

Answer:

$(0,-3)$