Given:
The table of values.
x: 12 7 2
y: 8 10 12
To find:
The rate of change.
Solution:
If two points are given then the formula for slope or rate of change is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Consider any two points from the given table.
Consider the two points (12,8) and (7,10). So, the rate of change is
[tex]m=\dfrac{10-8}{7-12}[/tex]
[tex]m=\dfrac{2}{-5}[/tex]
[tex]m=-\dfrac{2}{5}[/tex]
Therefore, the correct option is b.