Question

1. find the following lengths.

\\(\overline{ab}\\) ______
\\(\overline{bc}\\) ______
\\(\overline{ac}\\) ______
(number line image with points a at -1, b at 1, c at 5)

Explanation:

Step1: Identify point coordinates

Point $A=-1$, Point $B=1$, Point $C=5$

Step2: Calculate $\overline{AB}$

$\overline{AB} = |B - A| = |1 - (-1)| = 2$

Step3: Calculate $\overline{BC}$

$\overline{BC} = |C - B| = |5 - 1| = 4$

Step4: Calculate $\overline{AC}$

$\overline{AC} = |C - A| = |5 - (-1)| = 6$

Answer:

$\overline{AB}=2$
$\overline{BC}=4$
$\overline{AC}=6$