Given the points A(2,3) and B(5,9) on a line, find the average rate of change between these two points.

Step 1 ：The average rate of change between two points on a line can be found using the formula \( \frac{y_2 - y_1}{x_2 - x_1} \), where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the two points.

Step 2 ：Substituting the given points into the formula, we get \( \frac{9 - 3}{5 - 2} \).

Step 3 ：Simplify the expression to find the average rate of change.