Answer:
The two points on the graph are (0,-4) and (2.667,0)
Step-by-step explanation:
We are given that a function
![f(x)=\frac{3}{2}x-4](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B3%7D%7B2%7Dx-4)
We have to graph the function using line tool and select two points to graph.
Let ![y=f(x)](https://tex.z-dn.net/?f=y%3Df%28x%29)
Substitute x=0 then, we get
![y=\frac{3}{2}(0)-4=-4](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B2%7D%280%29-4%3D-4)
Therefore, the equation cut the y- axis at point (0,-4).
Substitute y=0 then we get
![0=\frac{3}{2}x-4](https://tex.z-dn.net/?f=0%3D%5Cfrac%7B3%7D%7B2%7Dx-4)
![\frac{3}{2}x=4](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7Dx%3D4)
![x=\frac{4\times 2}{3}=\frac{8}{3}=2.667](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B4%5Ctimes%202%7D%7B3%7D%3D%5Cfrac%7B8%7D%7B3%7D%3D2.667)
Therefore, the equation cut the x- axis at point (2.667,0).
Now, mark the point on the graph and meet the points.