Answer :
Let,
[tex]\begin{gathered} (x_1,y_1)=(-4,6) \\ (x_2,y_2)=(2,2) \end{gathered}[/tex]The expression to calculate the the slope of a line passing through two poins is,
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{2-6}{2-(-4)} \\ m=\frac{-4}{6} \\ m=\frac{-2}{3} \end{gathered}[/tex]Thus, the slope of the line passing through the points (-4, 6) and (2, 2) is -2/3.