13. Unear function \( K \) passes through points \( (-3,7) \) and \( (3,3) \). What is the rate of change of function \( K \) ? A \( -\frac{3}{2} \) B \( -\frac{2}{3} \) C \( \frac{3}{2} \) D \( \frac{2}{3} \)

To find the rate of change of function \( K \), we can calculate the slope of the line passing through the two given points \( (-3, 7) \) and \( (3, 3) \). The slope \( m \) can be found using the formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Plugging in the coordinates of the points: \[ m = \frac{3 - 7}{3 - (-3)} = \frac{-4}{6} = -\frac{2}{3} \] Thus, the rate of change of function \( K \) is \( -\frac{2}{3} \), which corresponds to option B. To double-check your calculations in similar problems, remember to carefully list both coordinates and ensure you subtract them in the correct order. Mistakes often occur when switching \( y_1 \) and \( y_2 \) or \( x_1 \) and \( x_2 \). Also, keeping your fractions simplified can help avoid confusion further down the line!