On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 4) and (2, 0). Everything to the right of the line is shaded. The solutions to the inequality y ≤ 2x − 4 are shaded on the graph. Which point is a solution? (−1, 1) (1, −1) (3, 2) (2, 3)

Answer:(3,2) is a solution to the inequality.Step-by-step explanation:The inequality is given by [tex]y\leq 2x - 4[/tex]We can find the solution by trial and error method where we substitute the value of x and y and check whether it satisfies the inequality.Putting [tex]x = -1[/tex] and [tex]y = 1[/tex] , we get[tex]1\leq (2\times-1) - 4[/tex][tex]1\leq -6[/tex] which is not possible.Hence (-1,1) is not a solution.Putting [tex]x = 1[/tex] and [tex]y = -1[/tex] , we get[tex]-1\leq -2[/tex] which is impossible.So (1,-1) is not a solutionPutting [tex]x=3[/tex] and [tex]y=2[/tex] , we get[tex]2\leq 2[/tex] which is possible and hence (3,2) is a solution.Putting [tex]x=2[/tex] and [tex]y=3[/tex] we get[tex]3\leq 0[/tex] which is impossible and (2,3) is not a solution.