Graph the proportional relationship y = x by plotting points.

A. (2, -2), (1, -1), (0, 0)
B. (2, 2), (1, 1), (0, 0)
C. (2, 4), (1, 2), (0, 0)
D. (3, 1), (0, 0)

1 answer

To graph the proportional relationship given by the equation \( y = x \), we can choose several values of \( x \) and calculate the corresponding \( y \) values using the equation.

The points that satisfy the equation \( y = x \) should all have the same \( x \) and \( y \) values. Let's evaluate the options given:

A. (2, -2), (1, -1), (0, 0)

  • This does not satisfy \( y = x \) because -2 ≠ 2 and -1 ≠ 1.

B. (2, 2), (1, 1), (0, 0)

  • This satisfies \( y = x \): (2, 2), (1, 1), and (0, 0) all have \( y \) equals to \( x \).

C. (2, 4), (1, 2), (0, 0)

  • This does not satisfy \( y = x \) because 4 ≠ 2 and 2 ≠ 1.

D. (3, 1), (0, 0)

  • This does not satisfy \( y = x \) because 1 ≠ 3.

From the analysis above, the correct option that represents the points of the proportional relationship \( y = x \) is:

B. (2, 2), (1, 1), (0, 0).