Question

Which of the coordinate points below will fall on a line wherethe constant of proportionality is 2? Select all that apply.

A) (1,2)
B) (3,6)
C) (2, 10)
D) (4,8)
E) (6, 12)

Answer 1

The coordinate points A) (1,2), B) (3,6), D) (4,8), and E) (6,12) fall on a line where the constant of proportionality is 2, because the ratio of the y-coordinate to the x-coordinate for these points is equal to 2.

Step-by-step explanation:

To determine which of the coordinate points will fall on a line where the constant of proportionality is 2, we need to find the points where the ratio of the y-coordinate to the x-coordinate equals 2. This is because the constant of proportionality (also known as the slope in this context) is the factor by which the x-coordinate is multiplied to get the y-coordinate in a proportional relationship, represented by the equation y = kx, where k is the constant of proportionality.

• For point A (1,2), the ratio is 2/1 = 2.
• For point B (3,6), the ratio is 6/3 = 2.
• For point C (2, 10), the ratio is 10/2 = 5, which is not equal to 2.
• For point D (4,8), the ratio is 8/4 = 2.
• For point E (6, 12), the ratio is 12/6 = 2.

Therefore, the points that fall on a line with a constant of proportionality of 2 are: A) (1,2), B) (3,6), D) (4,8), and E) (6,12).