Sure, we can calculate the slope of a line that passes through two points by using the formula for the slope (m) of a line, which is m = (y₂ - y₁) / (x₂ - x₁), where (x₁, y₁) and (x₂, y₂) are the coordinates of two points on the line.
From the question, we know that our two points are (-6,5) and (-3,20). Therefore, x₁ = -6, y₁ = 5, x₂ = -3, and y₂ = 20.
Let's plug these values into the slope formula:
m = (y₂ - y₁) / (x₂ - x₁)
m = (20 - 5) / (-3 - (-6))
m = (15) / (3)
So, the slope of the line that passes through the points (-6,5) and (-3,20) is 5.