Answer:
Slope = -13
Explanations:
The slope of a line passing through two points with coordinates (x₁ , y₁ ) and (x₂ y₂) is calculated using the formula:
![\text{Slope = }(y_2-y_1)/(x_2-x_1)](https://img.qammunity.org/2023/formulas/mathematics/college/j6namazf585rrwduwta3om3d0acgvn5ecg.png)
Since the points are (6, 6) and (7, -7):
x₁ = 6, y₁ = 6, x₂ = 7, y₂ = -7
Substituting these into the formula:
![\begin{gathered} \text{Slope = }(-7-6)/(7-6) \\ \text{Slope = }(-13)/(1) \\ \text{Slope = -13} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/dyz7tdbkas3fnal7xgqukzoraexc165npm.png)