Answer:
See below
Step-by-step explanation:
The given inequality is
[tex]y\:>\:-5x+1[/tex]
The corresponding linear equation is y=-5x+1.
This line is of the form y=mx+b
The slope of this line is m=-5 and b=1 is the y-intercept.
Since the inequality sign is '>' the boundary line is a dashed line.
We test the origin to see if the inequality will be satisfied.
[tex]0\:>\:-5(0)+1[/tex]
[tex]0\:>\:1[/tex]
This statement is false so we shade above the dashed line.
The graph of the inequality is shown in the attachment.
