Question

what is the length of $overline{gh}$?

Explanation:

Step1: Identify the coordinates

The coordinate of point G is - 5 and the coordinate of point H is 10.

Step2: Use the distance formula on a number - line

The distance between two points \(a\) and \(b\) on a number - line is \(d=\vert b - a\vert\). Here, \(a=-5\) and \(b = 10\), so \(d=\vert10-(-5)\vert\).

Step3: Simplify the expression

\(\vert10-(-5)\vert=\vert10 + 5\vert=\vert15\vert = 15\).

Answer:

15