Find the slope of the line that passes through \( (6,10) \) and \( (3,12) \). Simplify your answer and write it as a proper fraction, improper fraction, or integer.

To find the slope of the line that passes through the points \( (6,10) \) and \( (3,12) \), we use the slope formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Here, \( (x_1, y_1) = (6, 10) \) and \( (x_2, y_2) = (3, 12) \). Substituting these values into the formula gives us: \[ m = \frac{12 - 10}{3 - 6} = \frac{2}{-3} \] Thus, the slope simplifies to: \[ m = -\frac{2}{3} \] The slope of the line that passes through the points \( (6,10) \) and \( (3,12) \) is \( -\frac{2}{3} \).