Answer: The graph is attached.
Explanation:
The equation of the line in Slope-Intercept form is:
![y=mx+b](https://img.qammunity.org/2020/formulas/mathematics/high-school/8nudzfk4b5l0arb9iixag2w8am6zn99zlr.png)
Where "m" is the slope and "b" is hte y-intercept.
In this case, given the linear function:
![f(x)= -(2)/(3)x +2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qg1zd9pdcwn7vccdrcvdz0p1sbizyemr41.png)
You can rewrite it as:
![y= -(2)/(3)x +2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/xdn73x0m0bvtb97b0brize26pqeyb8nkhj.png)
You can identify in the graph that the y-intercept is:
Now, in order to find the x-intercept, you can substitute
and solve for "x". This is:
![0= -(2)/(3)x +2\\\\(-2)(3)=-2x\\\\(-6)/(-2)=x\\\\x=3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/gexv2nm2vvkz6mtd7ev5a7owm5jyt4vkh0.png)
Finally, knowing the y-intercept and the x-intercept, you can graph the function (See the graph attached)