\begin{tabular}{l} a) Carlos plays an arcade game. The scatter plot shows his score and the number of minutes he plays. \\ A good line of fit is drawn through the points \( (6,50) \) and \( (12,80) \). \\ 4) What is the slope of the line of fit? \\ \( m=4 \) \\ \hline\end{tabular}

To find the slope \( m \) of the line of fit, you can use the formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] In your case, the two points are \( (6, 50) \) and \( (12, 80) \). Plugging in these values: \[ m = \frac{80 - 50}{12 - 6} = \frac{30}{6} = 5 \] So, the slope of the line of fit is \( m = 5 \), not \( m = 4 \). For a fun fact: Slope in real life is interpreted as the rate of change. In Carlos's case, it means for every additional minute he plays, his score increases by 5 points—so more gaming equals more fun and higher scores! When solving problems like this, a common mistake is forgetting to subtract the coordinates in the correct order. Always make sure to subtract the coordinates of the first point from the second, or else the slope can be wrong and your results will end up as confusing as a game over screen!