\( \begin{array}{cc}\text { Point 1 } & \text { Point 2 } \\ (-4,6) & (-1,3) \\ x_{1} y_{1} & x_{2} y_{2} \\ m & =\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ m & =[?]\end{array} \)

To find the slope \( m \) of the line connecting Point 1 \((-4,6)\) and Point 2 \((-1,3)\), we can apply the formula \( m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} \). Plugging in the values: \( y_{2} = 3 \), \( y_{1} = 6 \), \( x_{2} = -1 \), and \( x_{1} = -4 \): \[ m = \frac{3 - 6}{-1 +4} = \frac{-3}{3} = -1. \] So the slope \( m \) equals \(-1\)! Understanding the slope concept can help you in various fields! For example, if you’re plotting a game graph, the angle of your slope gives players a sense of navigation or challenge! Whether it’s climbing a steep hill or gliding down a slope, that number tells the story of your path. Many students forget to subtract correctly when finding slopes. A common slip is mixing up which point is 1 and which is 2, or miscalculating positive and negative numbers. To avoid these mistakes, always clearly label your points before you start calculating and take a moment to double-check your math as you plug in the numbers!