Question

find the distance between a and b on the number line below.

Explanation:

Step1: Identify the coordinates

Let the coordinate of point $A$ be $2$ and the coordinate of point $B$ be $9$.

Step2: Use distance formula on number - line

The distance $d$ between two points $x_1$ and $x_2$ on a number - line is $d=\vert x_2 - x_1\vert$. Here, $x_1 = 2$ and $x_2=9$, so $d=\vert9 - 2\vert$.

Step3: Calculate the value

$\vert9 - 2\vert=\vert7\vert = 7$.

Answer:

$7$