Question

which methods could you use to calculate the y - coordinate of the midpoint of a vertical line segment with endpoints at (0, 0) and (0, - 12)? check all that apply. a. divide 12 by 2. b. count by hand. c. add the endpoints. d. divide - 12 by 2.

Explanation:

Step1: Recall mid - point formula for y - coordinate

The mid - point formula for the y - coordinate of a line segment with endpoints $(y_1,y_2)$ is $y_m=\frac{y_1 + y_2}{2}$. Here, $y_1 = 0$ and $y_2=-12$.

Step2: Calculate using the formula

$y_m=\frac{0+( - 12)}{2}=\frac{-12}{2}=-6$. Also, since the distance between $0$ and $- 12$ is $12$ units, we can think of finding the mid - point by dividing the distance (in the y - direction) by 2. Starting from $0$ and moving towards $-12$, dividing the distance of $12$ by $2$ also gives us the correct mid - point in the y - direction. We can also count by hand on the number line from $0$ to $-12$ to find the mid - point.

Answer:

A. Divide 12 by 2.
B. Count by hand.
D. Divide -12 by 2.