Explanation:
We need to find two points to graph the line. The easiest two points to find are the x-intercept and y-intercept.
To find the y-intercept, we just need to replace
with 0 and simplify:
![y=-(1)/(3)x+2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tevuyw5cwuidizovc0pk1t33jiyyqhdu1z.png)
![y=-(1)/(3) (0)+2](https://img.qammunity.org/2020/formulas/mathematics/high-school/fgt35nvb878k2ovwjk7ghwhcfvok56e3sd.png)
![y=2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/iixn10ipws98pi08daetfkonu7i7z3hmrl.png)
The y-intercept is the point (0, 2)
To find the x-intercept, we just need to replace
with 0 and solve for
:
![y=-(1)/(3)x+2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tevuyw5cwuidizovc0pk1t33jiyyqhdu1z.png)
![0=-(1)/(3)x+2](https://img.qammunity.org/2020/formulas/mathematics/high-school/oodxb8usz2xqdecxzxpsw25fyv3jizjeug.png)
![-(1)/(3) x=-2](https://img.qammunity.org/2020/formulas/mathematics/high-school/wlocnpnipyy5qcqk26onxiw17ozaj59l89.png)
![x=6](https://img.qammunity.org/2020/formulas/mathematics/middle-school/iytjkob8c453cdntkigo6vyjyk3yzlat9o.png)
The x-intercept is the point (6, 0)
Now we just need to place our two points in the plane and join them with a line.