Find the slope of the line that passes through \( (8,5) \) and \( (1,6) \). Simplify your answer and write it as a proper fraction, improper fraction, or integer.

To find the slope of the line that passes through the points \( (8, 5) \) and \( (1, 6) \), you can use the slope formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Substituting the coordinates \( (x_1, y_1) = (8, 5) \) and \( (x_2, y_2) = (1, 6) \): \[ m = \frac{6 - 5}{1 - 8} = \frac{1}{-7} = -\frac{1}{7} \] The slope of the line is \( -\frac{1}{7} \). --- Slope calculations can often be misunderstood. A common mistake is forgetting to switch the coordinates properly when subtracting; always remember that the first point’s coordinates are subtracted from the second point’s coordinates. In the world of real estate, understanding slopes can be crucial. Steeper slopes may indicate potential views or obstacles in property development, and knowing how to calculate them can assist in making informed investment decisions.