Step 1 :Let the given points be \((-4,2)\) and \((-1,8)\).
Step 2 :To find the slope of the line that goes through the given points, we can use the formula: \[\text{slope} = \frac{y2 - y1}{x2 - x1}\]
Step 3 :Plug in the given points into the formula: \[\text{slope} = \frac{8 - 2}{-1 - (-4)}\]
Step 4 :Simplify the expression: \[\text{slope} = \frac{6}{3}\]
Step 5 :\[\boxed{\text{slope} = 2}\]