Question

On a number​ line, the coordinates of​ X, Y,​ Z, and W are negative 7​, negative 2​, 1​, and 6​, respectively. Find the lengths of the two segments below. Then tell whether they are congruent.
XY overbar and ZW overbar?

PLEASE HELP MEE

Answer 1

On a number line, the length of a segment is the absolute value of the difference of the coordinates. So, if point $X$ has coordinate $a$ and point $Y$ has coordinate $b$, we have

$\overline{XY} = |a-b|$

So, you have

$\overline{XY} = |-7-(-2)| = |-7+2| = |-5| = 5$

$\overline{ZW} = |1-6| = |-5| = 5$

So, yes, they are congruent.