Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]x+3y\leq 6[/tex]
Isolate the variable y
[tex]3y\leq 6-x[/tex]
[tex]y\leq 2-(1/3)x[/tex]
The solution is the shaded area below the solid line
Is below because the symbol of the inequality is less
Is a solid line because the line is included in the solution
The equation of the solid line is [tex]y=2-(1/3)x[/tex]
To graph the solution find the intercepts
Find the x-intercept (value of x when the value of y is equal to zero)
For y=0, x=6 --------> point (6,0)
Find the y-intercept (value of y when the value of x is equal to zero)
For x=0, y=2 -------> point (0,2)
Graph the inequality
see the attached figure
