Find the slope of the line that passes through these two points. Point 1 \( \begin{array}{ll}(4,0) & \text { Point } 2 \\ x_{1} y_{1} & (6,2) \\ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\end{array} \)

To find the slope \( m \) of the line that passes through the points \( (4,0) \) and \( (6,2) \), we can substitute the coordinates into the slope formula \( m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} \). Here, \( (x_{1}, y_{1}) = (4, 0) \) and \( (x_{2}, y_{2}) = (6, 2) \). This gives us: \[ m = \frac{2 - 0}{6 - 4} = \frac{2}{2} = 1. \] The slope of the line is \( 1 \). When you think about the slope, it represents the steepness of a line. A slope of 1 means that for every unit you move right (increase in x), you also move up one unit (increase in y). This creates a perfect diagonal line going up from left to right. So next time you're on a hill, just imagine how the steepness factors into the gradient! To avoid mistakes with slope calculations, always remember to check the order of your points! The formula uses \( y_2 \) and \( y_1 \), as well as \( x_2 \) and \( x_1 \). Getting them mixed up can lead to an incorrect slope. Additionally, double-check that your points are correct and placed accurately on the graph to visualize the slope effectively.