How many steps to the right of the origin is the point located? How many steps above it?
Coordinates: (2,5) Quadrant: I
Practice makes perfect
To find the x-coordinate of G, 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 the origin.
From the diagram, we see that G is located 2 units to the right of the origin and 5 units above it. Then, its coordinates are x= 2 and y= 5, which we can write as ( 2, 5). 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 both the x- and y-coordinate are positive, the point G(2,5) lies in Quadrant I.
