Question

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

Explanation:

Step1: Identify coordinates

The coordinate of point $P$ is $- 200$ and the coordinate of point $Q$ is $200$.

Step2: Use distance formula

The distance between two points $x_1$ and $x_2$ on a number - line is $d=\vert x_2 - x_1\vert$. Here, $x_1=-200$ and $x_2 = 200$. So $d=\vert200-(-200)\vert$.

Step3: Simplify the expression

$\vert200 - (-200)\vert=\vert200 + 200\vert=\vert400\vert = 400$.

Answer:

$400$