Here are the essential concepts you must grasp in order to answer the question correctly.
Coordinate System
A coordinate system is a two-dimensional plane defined by a horizontal axis (x-axis) and a vertical axis (y-axis). Each point on this plane is represented by an ordered pair (x, y), where 'x' indicates the horizontal position and 'y' indicates the vertical position. Understanding this system is essential for locating points and determining their respective quadrants.
Recommended video:
Intro to Polar Coordinates
Quadrants
The coordinate plane is divided into four quadrants, each defined by the signs of the x and y coordinates. Quadrant I has positive x and y values, Quadrant II has negative x and positive y values, Quadrant III has negative x and y values, and Quadrant IV has positive x and negative y values. Identifying the quadrant helps in understanding the location of points relative to the origin.
Recommended video:
Axes
The axes in a coordinate system are the reference lines that define the plane. The x-axis runs horizontally, while the y-axis runs vertically. Points that lie directly on an axis have either an x-coordinate or a y-coordinate of zero. For example, the point (0, 5) lies on the y-axis, indicating it is not in any quadrant but rather on the axis itself.
Recommended video: