Answer :

Slope formula:

[tex]m=\frac{(y2-y1)}{(x2-x1)}[/tex]

We have:

Point 1 = (x1,y1)= (4,3)

Point 2 = (x2,y2) = (-6,-5)

Replace in the formula:

[tex]m=\frac{(-5-3)}{(-6-4)\text{ }}=\frac{-8}{-10}=\frac{4}{5}[/tex]