Question

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

Explanation:

Step1: Identify coordinates

The coordinate of point B is - 100 and the coordinate of point C is 300.

Step2: Use distance formula

The distance between two points on a number - line is given by \(d=\vert x_2 - x_1\vert\). Here, \(x_1=-100\) and \(x_2 = 300\), so \(d=\vert300-(-100)\vert\).

Step3: Simplify the expression

\(\vert300 - (-100)\vert=\vert300 + 100\vert=\vert400\vert = 400\).

Answer:

400