To find the slope of the line segment BC, we'll use the formula for slope, which is (change in y)/(change in x).
The coordinates of points B and C are (-2,-4) and (x, y) respectively.
Let's denote the coordinates of point C as (x, y).
The change in y is y - (-4) = y + 4, and the change in x is x - (-2) = x + 2.
Thus, the slope of the line segment BC is (y + 4)/(x + 2).