Question: Consider the equation $1.5x+4.5y=18$. 1. If we graph the equation, what is the slope of the graph? Type the answer in the box below. Where does the graph intersect the y-axis?

1. **State the problem:** We are given the linear equation $$1.5x + 4.5y = 18$$ and asked to find where the graph intersects the y-axis. 2. **Recall that the y-intercept occurs where $$x=0$$.** 3. **Substitute $$x=0$$ into the equation:** $$1.5(0) + 4.5y = 18$$ which simplifies to $$4.5y = 18$$ 4. **Solve for $$y$$ by dividing both sides by $$4.5$$:** $$y = \frac{18}{4.5}$$ Simplify the fraction: $$y = 4$$ 5. **Interpretation:** The graph intersects the y-axis at the point $$(0, 4)$$. **Final answer:** The y-intercept is $$4$$, so the graph intersects the y-axis at $$(0, 4)$$.