Question

Which list of points could be generated by the equation 2x + 4y = 12?

1) (-3, 3)
2) (2, 1)
3) (0, 3)
4) (4, 2)

Answer 1

The list of points that could be generated by the equation 2x + 4y = 12 is (0, 3).

Step-by-step explanation:

The equation 2x + 4y = 12 represents a linear equation in standard form. To generate a list of points that satisfy this equation, we can substitute different values of x and solve for y. Let's check each option:

1. For (-3, 3): 2(-3) + 4(3) = -6 + 12 = 6, which is not equal to 12.
2. For (2, 1): 2(2) + 4(1) = 4 + 4 = 8, which is not equal to 12.
3. For (0, 3): 2(0) + 4(3) = 0 + 12 = 12, which is equal to 12.
4. For (4, 2): 2(4) + 4(2) = 8 + 8 = 16, which is not equal to 12.

Hence, the list of points that could be generated by the equation 2x + 4y = 12 is (0, 3).