Find the slope of the line that passes through \( (2,2) \) and \( (6,9) \). Simplify your answer and write it as a proper fraction, improper fraction, or integer.

To find the slope \( m \) of the line that passes through the points \( (x_1, y_1) = (2, 2) \) and \( (x_2, y_2) = (6, 9) \), we can use the formula for the slope: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Now, substituting the values of the points into the formula: \[ m = \frac{9 - 2}{6 - 2} \] Calculating the numerator and the denominator: \[ m = \frac{7}{4} \] Thus, the slope of the line that passes through the points \( (2, 2) \) and \( (6, 9) \) is \[ \frac{7}{4} \] This is already in the form of a proper fraction.