How many steps to the right of the origin is the point located? How many steps above it?
Coordinates: (5,4) Quadrant: I
Practice makes perfect
To find the x-coordinate of M, 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 it is above the origin.
From the diagram, we see that M is located 5 units to the right of the origin and 4 unit above it. Then, its coordinates are x= 5 and y= 4, which we can write as ( 5, 4). 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 coordinates of the point are positive, M(5,4) lies in Quadrant I.
