Answer:
The image shows the plot for given function.
Step-by-step explanation:
We are given the following information in the question:
![f(x) = \displaystyle\frac{3}{2}x + 2](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cdisplaystyle%5Cfrac%7B3%7D%7B2%7Dx%20%2B%202)
The attached image shows the graph for the given function which is an equation for a straight line.
If we compare the given function to the the equation of straight line:
![y = mx +c](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2Bc)
where m is the slope of the line and c in the y-intercept.
We get, ![m = \displaystyle\frac{3}{2}, c = 2](https://tex.z-dn.net/?f=m%20%3D%20%5Cdisplaystyle%5Cfrac%7B3%7D%7B2%7D%2C%20c%20%3D%202)
The line meets the x-axis at (-1.333,0) and meets the y-axis at (0,2).
The above mentioned points are marked on the graph.