To solve this problem, use the equation slope= y₂ - y₁/ x₂ - x₁
where y₂ and x₂ are a set of coordinates, and y₁ and x₁ are another pair of coordinates.
In the problem, you have been given 2 coordinates: points (-5,3) and (7,9)
Plug in these points into the equation: slope =

Now solve!
9-3=6
7- (-5)= 7+5= 12
= 1/2
1/2 is the slope of the line