Answer:
y > -1/3x - 1
Explanation:
The inequality is a linear inequality whose equation can be written using a form similar to y = mx + b. Remember m is the slope and b is the y-intercept. Here the line crosses the y-axis at b = -1. And it has as a slope m = -1/3. The equation is then y = -1/3x - 1. Since this is an inequality with a dashed line then the symbols <,> must replace the =. There are two options:
y < -1/3x - 1 and y > -1/3x - 1
Test the point (0,0) which is in the solution set to determine which equation holds true.
0 < -1 and 0 > -1
The first is false and the second is true. The correct equation is y > -1/3x - 1