Final answer:
The point (-1, 0) lies on the negative direction of the x-axis because the x-coordinate is negative and the y-coordinate is zero, indicating a location to the left of the origin on the horizontal axis.
Step-by-step explanation:
The point (-1, 0) lies on the negative direction of the x-axis of a coordinate system. This is because the x-coordinate is negative and the y-coordinate is zero, placing the point directly to the left side of the origin on the horizontal axis. If we refer to the common coordinate system used in mathematics,
where motion to the right side of the coordinate system is considered positive (denoted by the unit vector î) and motion to the left side is considered negative, the point (-1, 0) indeed extends horizontally to the left side of the coordinate system
This point is not associated with any of the quadrants because it lies exactly on one of the axes. The quadrants are defined by the axes: Quadrant I contains points where both x and y are positive, Quadrant II where x is negative and y is positive, Quadrant III where both are negative, and Quadrant IV where x is positive and y is negative. Since the y-coordinate of the point (-1, 0) is zero, it does not fall into any of these quadrant definitions but is situated on the axis itself.