Answer:
The correct option is 1.
Step-by-step explanation:
The given inequality is
[tex]y>\frac{4}{5}x-1[/tex]
The related equation of the given inequality is
[tex]y=\frac{4}{5}x-1[/tex]
Put x=0,
[tex]y=\frac{4}{5}(0)-1[/tex]
[tex]y=0-1=-1[/tex]
Therefore the y-intercept is (0,-1).
Put y=0,
[tex]0=\frac{4}{5}x-1[/tex]
[tex]1=\frac{4}{5}x[/tex]
[tex]\frac{5}{4}=x[/tex]
Therefore the x-intercept is [tex](\frac{5}{4},0)[/tex].
Check the given inequality by (0,0).
[tex]0>\frac{4}{5}(0)-1[/tex]
[tex]0>-1[/tex]
This statement is true, therefore the shaded region of inequity is towards the origin.
So, option 1 is correct.
