1. **State the problem:** We are given two points A(-4, -8) and B(-5, -10) and a scale factor of 5. We want to understand how the scale factor affects these points. 2. **Formula for scaling points:** When scaling a point $(x, y)$ by a scale factor $k$ from the origin, the new coordinates $(x', y')$ are given by: $$x' = kx$$ $$y' = ky$$ 3. **Apply the scale factor to point A:** $$x'_A = 5 \times (-4) = -20$$ $$y'_A = 5 \times (-8) = -40$$ 4. **Apply the scale factor to point B:** $$x'_B = 5 \times (-5) = -25$$ $$y'_B = 5 \times (-10) = -50$$ 5. **Interpretation:** The points A and B are moved 5 times farther from the origin, preserving their direction but increasing their distance by a factor of 5. **Final scaled points:** - $A'(-20, -40)$ - $B'(-25, -50)$