Question

Which of the coordinates listed below could represent a point found on the line 3x = -2y?

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

Answer 1

The coordinates that could represent a point found on the line 3x = -2y is (-2, 3).

Step-by-step explanation:

To determine which coordinates lie on the line 3x = -2y, substitute the x and y values into the equation. For (3, -2):

3x = -2y

(3(3) = -2(-2)

(9 = 4) (False)

For (2, 3):

3x = -2y

(3(2) = -2(3)

(6 = -6) (False)

For (-2, 3):

(3x = -2y)

(3(-2) = -2(3)

(-6 = -6) (True)

For (3, 2):

(3x = -2y)

(3(3) = -2(2)

(9 = -4) (False)

Therefore, the coordinates (-2, 3) satisfy the equation (3x = -2y) and represent a point on the line.