Question

Select all the points (x,y) that are on the graph of the equation -6x+4y = 12.

A: (-4,-3)
B: (-1,1.5)
C: (0,-2)
D: (0,3)
E: (3,-4)
F: (6,4)

Answer 1

The points (-4, -3), (-1, 1.5), and (0, 3) are on the graph of the equation -6x + 4y = 12.

Step-by-step explanation:

To determine which points are on the graph of the equation -6x + 4y = 12, we can substitute the x and y values from each point into the equation. If the equation is true, then the point is on the graph.

Let's check each point:

• For point A (-4, -3): -6(-4) + 4(-3) = 24 - 12 = 12. The equation is true for this point, so it is on the graph.
• For point B (-1, 1.5): -6(-1) + 4(1.5) = 6 + 6 = 12. The equation is true for this point, so it is on the graph.
• For point C (0, -2): -6(0) + 4(-2) = 0 - 8 = -8. The equation is not true for this point, so it is not on the graph.
• For point D (0, 3): -6(0) + 4(3) = 0 + 12 = 12. The equation is true for this point, so it is on the graph.
• For point E (3, -4): -6(3) + 4(-4) = -18 - 16 = -34. The equation is not true for this point, so it is not on the graph.
• For point F (6, 4): -6(6) + 4(4) = -36 + 16 = -20. The equation is not true for this point, so it is not on the graph.

From our calculations, the points A, B, and D are on the graph of the equation -6x + 4y = 12.