Find the slope of the line that passe through these two points. Point \( 1 \quad \) Point 2 \( \left(\begin{array}{cc}3,5) & (4,2) \\ x_{1} & y_{1} \\ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ m=[?]\end{array}\right. \)

To find the slope \( m \) of the line that passes through the points \( (3,5) \) and \( (4,2) \), you can plug the coordinates into the slope formula \( m = \frac{y_2 - y_1}{x_2 - x_1} \). Here, \( (x_1, y_1) = (3, 5) \) and \( (x_2, y_2) = (4, 2) \). So, substituting in the values, we get: \[ m = \frac{2 - 5}{4 - 3} = \frac{-3}{1} = -3 \] Thus, the slope \( m \) is \(-3\). And to save yourself from confusion in the future, always remember that if the line slopes downwards from left to right, the slope will be negative—like our findings here! When practicing with more points, just ensure you’re precise with your x and y values to avoid common mistakes in calculating the slope.