The following inequalities is best represented by this graph is 5x -y ≥ 2
The slope of the boundary line is positive, so the x- and y-coefficients will have opposite signs when the equation is written in standard form (eliminates choices A, B).
The graph is shaded for x-values greater than those on the boundary line, so the form of the desired equation will be ...
ax -by ≥ c . . . . . for some positive values of a, b, c
This eliminates choice C and indicates the correct choice is the last one: 5x -y ≥ 2.
Complete question:
Which of the following inequalities is best represented by this graph? (4 points)
5x + y ≤ 2
5x+y ≥ 2
5x-y ≤ 2
5x-y ≥ 2