Question

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

Explanation:

Step1: Identify coordinates

The coordinate of point C is - 10 and the coordinate of point D is 5.

Step2: Use distance formula

The distance between two points on a number - line is given by \(d=\vert x_2 - x_1\vert\). Here, \(x_1=-10\) and \(x_2 = 5\), so \(d=\vert5-(-10)\vert\).

Step3: Simplify the expression

\(\vert5-(-10)\vert=\vert5 + 10\vert=\vert15\vert = 15\).

Answer:

15