Answer:
The graph of given equality is shown below.
Step-by-step explanation:
The slope intercept form of a line is
.... (1)
where, m is slope and b is y-intercept.
The given inequality is
![y\geq 1-3x](https://tex.z-dn.net/?f=y%5Cgeq%201-3x)
The related equation of the given inequality is
.... (2)
On comparing (1) and (2), we get
![m=-3, b=1](https://tex.z-dn.net/?f=m%3D-3%2C%20b%3D1)
It means the slope of the line is -3 and y-intercept is 1. The graph of related line is a solid line because the sign of inequality is ≥.
Check the given inequality by (0,0).
![0\geq 1-3(0)](https://tex.z-dn.net/?f=0%5Cgeq%201-3%280%29)
![0\geq 1](https://tex.z-dn.net/?f=0%5Cgeq%201)
This statement is false. So, (0,0) is not included in the solution set.
Therefore, the graph of given equality is shown below.