Question

find the distance between points g and e.

Explanation:

Step1: Determine the coordinates

Point \( G \) has coordinate \( x_G=-6 \), point \( E \) has coordinate \( x_E = 4 \).

Step2: Use the distance formula on the 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, \( d=\vert4-(-6)\vert \).

Step3: Simplify the expression

\(\vert4 + 6\vert=\vert10\vert\).

Answer:

\(10\)