Let A = (4,-4) B = (8,-1) C = (0,-7) D = (-4,-10)
Slope AB = [-1-(-4)]/(8-4) = 3/4
Equation of line containing A and B is: y - (-1) = (3/4)(x - 8)
Simplifying, we have y = (3/4)x - 7
Points C and D also satisfy this equation, so all four points lie on the same line.
Pick any two of the four points. The slope will be 3/4.