Consider the equation $1.5x+4.5y=18$.
1 If we graph the equation, what is the slope of the graph?
Where does the graph intersect the $y$-axis? Write as a coordir
Where does it intersect the $\mathrm{x}$-axis? Write as a coordinate

Step 1 ：Consider the equation $1.5x+4.5y=18$.

Step 2 ：We need to find the slope of the graph, the y-intercept, and the x-intercept.

Step 3 ：The slope of the graph of a linear equation in the form $y=mx+b$ is given by the coefficient of $x$, which is $m$. In this case, the equation is not in this form, so we need to rearrange it to find the slope.

Step 4 ：Rearranging the equation, we get $y=4-0.333333333333333x$. So, the slope of the graph is $-0.333333333333333$.

Step 5 ：The y-intercept of the graph is the value of $y$ when $x=0$. We can find this by setting $x=0$ in the equation and solving for $y$. Doing this, we get $y=4$. So, the graph intersects the y-axis at $(0,4)$.

Step 6 ：The x-intercept of the graph is the value of $x$ when $y=0$. We can find this by setting $y=0$ in the equation and solving for $x$. Doing this, we get $x=12$. So, the graph intersects the x-axis at $(12,0)$.

Step 7 ：Final Answer: The slope of the graph of the equation is $\boxed{{\displaystyle -0.333333333333333}}$. The graph intersects the y-axis at $\boxed{{\displaystyle (0,4)}}$ and the x-axis at $\boxed{{\displaystyle (12,0)}}$.