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QUESTION IMAGE

find the distance between e and f on the number line below. distance:

Question

find the distance between e and f on the number line below.
distance:

Explanation:

Step1: Identify the coordinates

The coordinate of point $E$ is $- 3$, and the coordinate of point $F$ is $6$.

Step2: Use the distance formula

The distance $d$ between two points $a$ and $b$ on a number - line is $d=\vert a - b\vert$. Here, $a=-3$ and $b = 6$, so $d=\vert-3 - 6\vert=\vert-9\vert$.

Step3: Calculate the absolute - value

Since $\vert-9\vert = 9$, the distance between $E$ and $F$ is 9.

Answer:

9