Which of the following ordered pairs is part of the solution set for the equation y=3x−4

?

Option #1: (−1,0)


Option #2: (0,−4)


Option #3: (3,4)

1 answer

To find which of the given ordered pairs is part of the solution set for the equation, we substitute the x and y values into the equation and check if it satisfies the equation.

Option #1: (-1,0)
Substituting x = -1 and y = 0 into the equation:
0 = 3(-1) - 4
0 = -3 - 4
0 = -7

Since the equation is not satisfied, (-1,0) is not part of the solution set.

Option #2: (0,-4)
Substituting x = 0 and y = -4 into the equation:
-4 = 3(0) - 4
-4 = 0 - 4
-4 = -4

The equation is satisfied, so (0, -4) is part of the solution set.

Option #3: (3,4)
Substituting x = 3 and y = 4 into the equation:
4 = 3(3) - 4
4 = 9 - 4
4 = 5

The equation is not satisfied, so (3, 4) is not part of the solution set.

Therefore, the ordered pair (0, -4) is the part of the solution set for the equation y = 3x - 4.