In order to find the slope between those two points, we can use the following formula for the slope:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Where m is the slope between the points (x1, y1) and (x2, y2).
So using the points (-4, 2) and (5, 6), we have:
[tex]m=\frac{6-2}{5-(-4)}=\frac{4}{9}[/tex]So the slope is 4/9