The points (3, 1) and (1, -2) are on the graph
The slope of the line through these points is given by : [-2-1] / [ 1 - 3] = -3/ -2 = 3/2
So.....the equation of this line is
y = (3/2)(x - 3) + 1 multiply through by 2
2y = 3( x - 3) + 2
2y = 3x - 9 + 2
-3x + 2y = - 7 multiply through by -1
3x - 2y = 7
Since we have a dotted line than we have that either
3x - 2y > 7 or 3x - 2y < 7
Note that (0, 0) is in the shaded area....this will satisfy 3x - 2y < 7
