Answer:
See below for graph
Step-by-step explanation:
Given the slope-intercept equation:
![y=-(1)/(3)x+4](https://img.qammunity.org/2023/formulas/mathematics/college/gse9nrgil9ud8varl4j2x9arhu0byawk19.png)
To graph it, first, we find the x and y-intercepts.
When x=0
![\begin{gathered} y=-(1)/(3)(0)+4 \\ y=4 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/85uj7sjltfrmohksbfcwyzfza2nhsw0bgp.png)
We have the point (0,4).
When y=0
![\begin{gathered} 0=-(1)/(3)x+4 \\ (1)/(3)x=4 \\ x=12 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/iuctm0qxj55tylf0ucuet0gk8fhjn1phu1.png)
We have the point (12,0).
We then draw a line joining points (0,4) and (12,0).