In the graph for the solution set of the inequality 4x−3y>6 , identify the coordinate that is a solution.(1 point)

Responses

A. (−2,0)
left parenthesis negative 2 comma 0 right parenthesis

B. (2,0)
left parenthesis 2 comma 0 right parenthesis

C. (0,2)
left parenthesis 0 comma 2 right parenthesis

D. (0,−2)
left parenthesis 0 comma negative 2 right parenthesis

1 answer

To identify the coordinate that is a solution to the inequality 4x - 3y > 6, we need to plug in the coordinates into the inequality and check if it holds true.

Checking each option:

A. (-2, 0)
4(-2) - 3(0) = -8
-8 is not greater than 6, so (-2,0) is not a solution.

B. (2, 0)
4(2) - 3(0) = 8
8 is greater than 6, so (2,0) is a solution.

C. (0, 2)
4(0) - 3(2) = -6
-6 is not greater than 6, so (0,2) is not a solution.

D. (0, -2)
4(0) - 3(-2) = 6
-6 is greater than 6, so (0,-2) is not a solution.

Therefore, the coordinate that is a solution to the inequality is B. (2,0).