Step 1 :Identify the coordinates of the first point: (-3,-8)
Step 2 :Identify the coordinates of the second point: (4,6)
Step 3 :Calculate the change in y: 6 - (-8) = 14
Step 4 :Calculate the change in x: 4 - (-3) = 7
Step 5 :Apply the slope formula: slope = (change in y)/(change in x)
Step 6 :Substitute the values: slope = 14/7
Step 7 :Simplify the fraction: slope = 2
Step 8 :The slope of the line passing through the points (-3,-8) and (4,6) is \(\boxed{2}\)