Final answer:
The ordered pair that describes a point located 2 units to the right of the origin and 6 units below the x-axis is (2, -6), which corresponds to option a).
Step-by-step explanation:
The point that is located 2 units to the right of the origin and 6 units below the x-axis can be described by the ordered pair (2, -6). The first number in the ordered pair represents the x-coordinate, which is the horizontal distance from the origin. Since the point is 2 units to the right of the origin, the x-coordinate is positive 2. The second number in the ordered pair represents the y-coordinate, which is the vertical distance from the origin. Since the point is 6 units below the x-axis, the y-coordinate is negative 6.
The question involves finding the ordered pair that represents a point's location relative to the origin on a coordinate system. In a standard xy-coordinates system, moving to the right of the origin increases the x-value, and moving below the x-axis would decrease the y-value. Therefore, moving 2 units to the right of the origin increases the x-coordinate by 2 and moving 6 units below the x-axis reduces the y-coordinate to -6. The ordered pair that matches this description is (2, -6), which is option a).