Question

practice distance and midpoints use the number - line to find each measure. 1. vw 2. tv 3. st 4. sv

Explanation:

Step1: Recall distance formula on number - line

The distance between two points $a$ and $b$ on a number - line is $d=\vert a - b\vert$.

Step2: Find the distance of VW

The coordinate of $V = 0$ and the coordinate of $W = 4$. So, $VW=\vert0 - 4\vert=\vert-4\vert = 4$.

Step3: Find the distance of TV

The coordinate of $T=-4$ and the coordinate of $V = 0$. So, $TV=\vert-4 - 0\vert=\vert-4\vert = 4$.

Step4: Find the distance of ST

The coordinate of $S=-8$ and the coordinate of $T=-4$. So, $ST=\vert-8-(-4)\vert=\vert-8 + 4\vert=\vert-4\vert = 4$.

Step5: Find the distance of SV

The coordinate of $S=-8$ and the coordinate of $V = 0$. So, $SV=\vert-8 - 0\vert=\vert-8\vert = 8$.

Answer:

1. $VW = 4$
2. $TV = 4$
3. $ST = 4$
4. $SV = 8$