Chapter 14.8, Problem 2C

To determine

To calculate the coordinate of the point where $\overrightarrow{SR}$ intersects the number line.

Answer to Problem 2C

The coordinate of point where $\overrightarrow{SR}$ intersects the number line is 5.

Explanation of Solution

Given information:

Point O , A , B , C lie on a number line with coordinates 0, 8, 12, and 26. Take any point P not on the line. Draw $\overline{PA}$ and label its mid-point Q . Draw $\overline{QB}$ and label its mid-point R . Draw $\overline{PC}$ and label its mid-point S . Draw $\overrightarrow{SR}$ .

Calculation :

Draw the number line and given points as directed.

  

From the above figure the line $\overrightarrow{SR}$ intersects the number line approximately at 5.

Therefore,

The coordinate of point where $\overrightarrow{SR}$ intersects the number line is 5.