The equation 2x + 3y = -1 can be turned into the standard form y = mx +b by subtracting 2x from both sides and dividing by 3 giving y = -2/3 x -1/3. That gives the slope as -2/3 and the intercept = -1/3. You can graph that by picking x=0 giving y = -1/3, and x = 1 gives y = -1. Connect those ...