Answer:
The graph of given equation is shown below.
Explanation:
The given function is
![f(x)=-(1)/(3)x+1](https://img.qammunity.org/2020/formulas/mathematics/middle-school/94f8l5siyzy6v5wggjj773ku70gpd26lz9.png)
We need to draw the graph of given equation.
At x=0,
![f(0)=-(1)/(3)(0)+1=1](https://img.qammunity.org/2020/formulas/mathematics/middle-school/yjzkxswjck5wce1wvp2v5rq3opo8dhesbe.png)
So, y-intercept is 1.
Equate f(x)=0 to find x-intercept.
![-(1)/(3)x+1=0](https://img.qammunity.org/2020/formulas/mathematics/middle-school/nl519b8ip44ogbsw48vhumlqpmc4kb6p9b.png)
![-(1)/(3)x=-1](https://img.qammunity.org/2020/formulas/mathematics/middle-school/fvcikenc8ywlzm098go61tpp7l3bnnhc54.png)
Multiply both sides by -3.
![x=3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/jmja0xwsmt4jtrinnsn2lhtcie4am0nxwn.png)
So, x-intercept of the line is 3.
Plot these two points (0,1) and (3,0) on coordinate plane and connect them by a straight line.