The first step is to change the inequality symbol to that of equality. It becomes
y = - x + 6
We would substitute values for x into the equation and solve for the corresponding y values.
For x = - 1, y = - - 1 + 6 = 7
For x = 0, y = - 0 + 6 = 6
For x = 1, y = - 1 + 6 = 5
For x = 2, y = - 2 + 6 = 4
If we plot these values on the graph, a straight line would be formed. The line would be solid because the inequality symbol has an equal to symbol. The graph is shown below
The points above can be found within the unshaded region of the graph. The shaded region does not satisfy theinequality.