Let
[tex]A(6,-2)\\B(-3,7)[/tex]
we know that
the formula to calculate the slope between two points is equal to
[tex]m=\frac{(y2-y1)}{(x2-x1)}[/tex]
Substitute the values in the formula
[tex]m=\frac{(7+2)}{(-3-6)}[/tex]
[tex]m=\frac{(9)}{(-9)}[/tex]
[tex]m=-1[/tex]
therefore
the answer is
the slope is equal to [tex]m=-1[/tex]