1. **State the problem:** We are given points (1, 12), (3, 36), and (4, 48) and asked to write an equation of the form $y = kx$ that fits these points. 2. **Understand the form:** The equation $y = kx$ means $y$ is directly proportional to $x$ with constant of proportionality $k$. 3. **Calculate the unit rate $k$:** Use any point to find $k$. Using point (1, 12): $$k = \frac{y}{x} = \frac{12}{1} = 12$$ 4. **Verify $k$ with other points:** - For (3, 36): $k = \frac{36}{3} = 12$ - For (4, 48): $k = \frac{48}{4} = 12$ All points confirm $k=12$. 5. **Fill in the missing table value for $x=2$:** $$y = 12 \times 2 = 24$$ 6. **Write the equation:** $$y = 12x$$ **Final answer:** $y = 12x$