Given two points of a line, (x₁, y₁) and (x₂, y₂), we can find the slope of the line, m, using the fllowing equation:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Since we have the points (3, 2) and (-12, -15), the slope is:
[tex]\begin{gathered} m=\frac{-15-2}{-12-3}=\frac{-17}{-15}=\frac{17}{15} \\ m=\frac{17}{15} \end{gathered}[/tex]