Answer: The coordinate is [tex]-10\frac{2}{3}[/tex] or about -10.67
Explanation:
First, determine the distance from 1 to -13 on the number line:
[tex]d = |x_1-x_2|=|1-(-13)|=14[/tex]
Next step is calculating Five-sixths of this distance:
[tex]\frac{5}{6}d=\frac{5}{6}\cdot14=\frac{35}{3}=11\frac{2}{3}[/tex]
Finally, we "walk" that frcation of distance in the direction from 1 toward -13 (i.e., in the negative direction). The new coordinate x* is:
[tex]x^*=1-11\frac{2}{3}=-10\frac{2}{3}=-10.\overline{6}[/tex]
