1. **State the problem:** Find the y-intercept of the equation $4y=12x$. 2. **Rewrite the equation in slope-intercept form:** The slope-intercept form is $y=mx+b$, where $b$ is the y-intercept. 3. **Isolate $y$:** Divide both sides of $4y=12x$ by 4 to get $$y=\frac{12x}{4}=3x$$ 4. **Identify the y-intercept:** In $y=3x$, the term $b$ (y-intercept) is 0 because there is no constant term. 5. **Conclusion:** The y-intercept is at the point $(0,0)$.