If x < 0 and y < 0, where is the point (x, y) located?
The point (x, y) is located in the third quadrant on the Cartesian plane.
If the point (x, y) is on the y–axis, which of the following must be true?
If the point (x, y) is on the y-axis, it means that its x-coordinate is 0. Therefore, the following must be true:
- x = 0
- The point lies on the y-axis, which means that it has the form (0, y) where y can be any real number.
If the point (x, y) is in Quadrant IV, which of the following must be true?
If the point (x, y) is in Quadrant IV, the following must be true:
- x > 0 (since x-values increase as we move to the right of the y-axis)
- y < 0 (since y-values decrease as we move downwards from the x-axis)
In other words, the point (x, y) has positive x-coordinate and negative y-coordinate.
If the point (x, y) is on the x–axis, which of the following must be true?
If the point (x, y) is on the x-axis, it means that its y-coordinate is 0. Therefore, the following must be true:
- y = 0
- The point lies on the x-axis, which means that it has the form (x, 0) where x can be any real number.