Question

1. use the number line to find the coordinate of the midpoint of $overline{qu}$. 5. use the number line to find the coordinate of the midpoint of $overline{ad}$.

Explanation:

Step1: Recall mid - point formula on number line

The mid - point of two points with coordinates $x_1$ and $x_2$ on a number line is given by $\frac{x_1 + x_2}{2}$.

Step2: Find coordinates of $Q$ and $U$ for $\overline{QU}$

From the first number line, the coordinate of $Q=-4$ and the coordinate of $U = 7$. Then the mid - point $M_1$ of $\overline{QU}$ is $\frac{-4 + 7}{2}=\frac{3}{2}=1.5$.

Step3: Find coordinates of $A$ and $D$ for $\overline{AD}$

From the second number line, the coordinate of $A=-7$ and the coordinate of $D = 1$. Then the mid - point $M_2$ of $\overline{AD}$ is $\frac{-7+1}{2}=\frac{-6}{2}=-3$.

Answer:

1. $1.5$
2. $-3$