The graph has a slope of 2 because for every 2 units it rises, it moves to the right 1 unit. We also know the y-intercept is y=4.
So the equation disregarding the inequality is:
y = 2x + 4
Since the area ABOVE the curve is shaded, that means that y is greater than 2x+4. The dotted line means that it is strictly greater than and not equal to.
So now we have y > 2x + 4
We can rearrange our answer to get 4x - 2y < -8 which is the correct answer.
