Question

Given that x is a positive number, determine the quadrant or axis in which the point lies. (x,0)

a) Quadrant I
b) Quadrant II
c) X-axis
d) Y-axis

Answer 1

The point (x,0) lies on the x-axis in the coordinate system.

Step-by-step explanation:

The point (x,0) lies on the x-axis. The x-axis is the horizontal line on the coordinate system. It is a straight line with a positive direction to the right and a negative direction to the left.

The point (x,0) where x is a positive number lies on the X-axis. This point is in the positive x direction of the coordinate system since it has a positive x-coordinate and a y-coordinate of zero. Points on the x-axis do not lie within any of the four quadrants but on the axis itself. Hence, the correct answer is the X-axis (c).

Therefore, the answer is c) X-axis.