1) First, find the equation of the line
y = mx + b
m = slope = rise / run = [3-0] / [0 - (-2)] = 3/2
b = y-intercept = 3
Then, y = [3/2]x + 3
Now, given that the solution is the set of points in the line and below the line, y hast to be less or equal than the function: y ≤ [3/2]x + 3
That is the third option.
2) First find the equation of the line
y = mx + b
m = [10 - (-5)] / [5 - 0] = 15 / 5 = 3
b = - 5
y = 3x - 5
Now, given that the solution is the set of points above the line, the solution are the y greater than the function: y > 3x - 5.
I do not see that inequality in the list. (Notice that I interpret that the dash line means that the points in the line are not part of the solution, that is why I use > instead of greater than or equal to)
