How many steps to the right of the origin is the point located? How many steps above or below it?
Coordinates: (5,0) Quadrant: None
Practice makes perfect
To find the x-coordinate of C, we count the number of units that the point is placed to the right of the origin. Similarly, to find the y-coordinate, we count the number of units that the point is located above or below the origin.
From the diagram, we see that C is located 5 units to the right of the origin and 0 units above or below it. Then, its coordinates are x= 5 and y= 0, which we can write as ( 5, 0). 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 given point lies on an axis, C(5,0) does not lie in any quadrant.
