Answer :
In order to calculate the slope of a line that passes through the points (-2, 6) and (8, 4), we can use the formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Where (x1, y1) and (x2, y2) are the points coordinates. So we have:
[tex]\begin{gathered} m=\frac{4-6}{8-(-2)} \\ m=\frac{-2}{8+2} \\ m=\frac{-2}{10} \\ m=-\frac{1}{5} \end{gathered}[/tex]So the slope of the line is -1/5.