To find the slope between the two points \((2, 2)\) and \((15, 12)\), you can use the formula for the slope \(m\) of a line that passes through two points \((x_1, y_1)\) and \((x_2, y_2)\):
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
In this case, let \((x_1, y_1) = (2, 2)\) and \((x_2, y_2) = (15, 12)\).
Now plug the values into the formula:
\[ m = \frac{12 - 2}{15 - 2} \] \[ m = \frac{10}{13} \]
Therefore, the slope between the points \((2, 2)\) and \((15, 12)\) is \(\frac{10}{13}\).