The x-coordinate represents the horizontal shift, starting from the origin, and the y-coordinate represents the vertical shift.
Label: K Quadrant: None
Practice makes perfect
An ( x, y) ordered pair is plotted on a coordinate plane by finding the x-coordinate on the horizontal axis and the y-coordinate on the vertical axis. Let's take a look at the point we want to graph and label on a coordinate plane.
( -1 12, 0)
To graph this point we should first move 1 12 units in the negative horizontal direction starting from the origin. We move in the negative direction because the coordinate is a negative number. Then, we should move 0 units in the vertical direction. This means that we do not move at all in the vertical direction.
From the diagram, we see that the point (-1 12,0) matches with the label K. To determine the quadrant in which a point lies without graphing, observe the signs of the x- and y-coordinates.
Quadrant
x-coordinate
y-coordinate
Quadrant I
Positive
Positive
Quadrant II
Negative
Positive
Quadrant III
Negative
Negative
Quadrant IV
Positive
Negative
Since the x-coordinate of the given point is negative and the y-coordinate is zero, K(-1 12,0) does not lie in any Quadrant.
Extra
Visualizing Quadrants
To help us visualize each of the different quadrants, let's take a look at the diagram.
Therefore, we are able to determine in which quadrant a point is located only by looking at the signs of its coordinates.
