a point has coordinates(0,0) where is located in the coordinate plane?
A)x-axis
B)orgin
C)y-axis
D)quadrant1
The point (0,0) in the coordinate plane is located at the origin. To understand why, let's break down the coordinates.
In the coordinate plane, the x-axis represents the horizontal line, and the y-axis represents the vertical line. The point (0,0) has a value of 0 for both the x-coordinate and the y-coordinate.
Now, let's consider the options:
A) The x-axis is the horizontal line and is represented by the coordinates (x,0). Since the y-coordinate of the point is 0, it lies on the x-axis. However, the x-coordinate is also 0, so it cannot be exclusively on the x-axis.
B) The origin refers to the point (0,0) itself. It is the intersection of the x-axis and the y-axis. Therefore, the point (0,0) is indeed located at the origin.
C) Similarly to option A, the y-axis is the vertical line represented by the coordinates (0,y). Since the x-coordinate of the point is 0, it lies on the y-axis. However, the y-coordinate is also 0, so it cannot be exclusively on the y-axis.
D) Quadrant 1 is the top right portion of the coordinate plane. It is bounded by the positive x-axis and the positive y-axis. The point (0,0) is not in Quadrant 1 since it is not in the positive portion of either the x-axis or the y-axis.
Hence, the correct answer is option B) origin.