Recall that the slope of the line that passes through the points (x₁,y₁), and (x₂,y₂) is given by the following formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}\text{.}[/tex]Therefore, the slope of the line that passes through p1 and p2 is:
[tex]m=\frac{-6-3}{7-(-9)}\text{.}[/tex]Simplifying the above result we get:
[tex]m=\frac{-9}{16}\text{.}[/tex]Answer:
[tex]-\frac{9}{16}\text{.}[/tex]