Which linear inequality is represented by the graph?
y < 3x + 2
y > 3x + 2
y < x + 2
y > x + 2

y > 3x+2

Step-by-step explanation:

We have 2 points so we can find the slope

m = (y2-y1)/(x2-x1)

   = (2--7)/(0--3)

   = (2+7)/(0+3)

   = 9/3

   = 3

The y intercept is 2, so we can write the equation of the line using the slope intercept form  (y=mx+b)

 y = 3x+2

The line is dotted so we use either < or >  (If it were solid we would use ≤ or ≥)

Since it is shaded above , y is greater than.

y > 3x+2