Question

according to the number line, what is the distance between points a and b? -16 -14 -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12 14 16 6 units 7 units 12 units 14 units

Explanation:

Step1: Identify coordinates

Point A is at - 2 and point B is at 10.

Step2: Use distance formula

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 $x_2 = 10$, so $d=\vert10-(-2)\vert$.

Step3: Simplify the expression

$\vert10 - (-2)\vert=\vert10 + 2\vert=\vert12\vert = 12$.

Answer:

12 units