We are given
y-2x is less than or equal to -3
so, we can write it as
[tex]y-2x\leq -3[/tex]
now, we can solve for y
Add 2x on both sides
[tex]y-2x+2x\leq 2x-3[/tex]
[tex]y\leq 2x-3[/tex]
Firstly, we will draw graph for equality
[tex]y= 2x-3[/tex]
We can compare it with slope intercept form of line
[tex]y= mx+b[/tex]
where
m is slope
b is y-intercept
[tex]m=2,b=-3[/tex]
now, we can change inequality
we can check for origin
At x=0 , y=0:
[tex]0\leq 2*0-3[/tex]
[tex]0\leq -3[/tex]
we know that this is false
so, region will be shaded opposite of origin side
so, we get graph as