Find the slope of the line between the points \( (7,6) \) and \( (-7,-9) \). The slope is \( m=\square \). Ife slope is undefined, enter

To find the slope \( m \) between the two points \( (7, 6) \) and \( (-7, -9) \), you can use the formula for slope: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Here, \( (x_1, y_1) = (7, 6) \) and \( (x_2, y_2) = (-7, -9) \). Plugging in these values: \[ m = \frac{-9 - 6}{-7 - 7} = \frac{-15}{-14} = \frac{15}{14} \] So, the slope is \( m = \frac{15}{14} \). Understanding slopes can be crucial in various fields! For instance, in architecture, architects use slope to ensure that roofs drain properly. A slope that’s too steep can cause heavy rainfall to flood the roof, while a slope that’s too shallow might not direct rainwater away effectively. Furthermore, a common mistake when calculating the slope is confusing the order of points. Always use \( (x_1, y_1) \) as the first point and \( (x_2, y_2) \) as the second point consistently. Switching them could lead to a sign error, affecting your slope calculation!