Question

Which of the following points (x,y) lies on the graph of 8x+2y=24 ?

A)(-1,8)
B)(2,8)
C) (6,-12)
D) (8,2)

Answer 1

The point that lies on the graph of the linear equation 8x+2y=24 is point C (6,-12), as substituting the x and y values from point C into the equation gives a result that satisfies the equation.

Therefore, the correct answer is point C (6,-12).

Step-by-step explanation:

The student has asked which point lies on the graph of the linear equation 8x+2y=24. To find out which point satisfies the equation, we substitute the x and y values of each point into the equation.

1. For point A (-1,8): 8(-1) + 2(8) = -8 + 16 = 8, which is not equal to 24, so point A does not lie on the graph.
2. For point B (2,8): 8(2) + 2(8) = 16 + 16 = 32, which is not equal to 24, so point B does not lie on the graph.
3. For point C (6,-12): 8(6) + 2(-12) = 48 - 24 = 24, which is equal to 24, so point C does lie on the graph.
4. For point D (8,2): 8(8) + 2(2) = 64 + 4 = 68, which is not equal to 24, so point D does not lie on the graph.