First we need to find the equation of line .
Here the line passing through (0,-1) and (-1,1). So the y intercept is -1 here.
Now we need to find the slope , m.
[tex] m = \frac{1-(-1)}{-1-0} = \frac{2}{-1}=-2 [/tex]
So we have slope, m =-2 and y intercept , b=-1
And the slope intercept form is y=mx+b.
Substituting the values of m and b,
y=-2x -1
Here point (0,0) is a part of the shaded region.
It means point (0,0) must satisfy the inequality.
Let's plug point (0,0) in the equation
0=-1 and 0 is greater then -1. So the inequality have to be
y>-2x-1 .
