from a handpicked tutor in LIVE 1to1 classes
X and Y Coordinates
X and Y Coordinates help in identifying a point in the coordinate axes and are written as the ordered pair (x, y). The coordinates of a point are referred as (x, y), where x represents the position of the point with reference to the xaxis, and y represents the position of the point with reference to the yaxis.
Let us learn more about x and y coordinates, their location, and their uses.
What Are X and Y Coordinates?
X and Y coordinates is an address, which helps to locate a point in twodimensional space. Any point in the coordinate plane is referred by a point (x, y), where the x value is the position of the point with reference to the xaxis, and the y value is the position of the point with reference to the yaxis. The x and y coordinates of a point have positive or negative values, based on the location of the point in the different quadrants.
Here let us look at these two important terms relating to x and y coordinates.
 Abscissa (x coordinate): It is the x value in the point (x, y), and is the length of the perpendicular drawn from the point to the yaxis. i.e., it is the horizontal distance from the point to the yaxis.
 Ordinate (ycoordinate) : It is the y value in the point (x, y)., and is the length of the perpendicular drawn from the point to the xaxis. i.e., it is the vertical distance from the point to the xaxis.
X and Y Coordinates In Four Quadrants
The properties of the x and y coordinates of a point represented in the four quadrants of the cartesian plane are as follows.:
 The x and y coordinates of the origin is equal to (0, 0), which is the point of intersection of the xaxis and yaxis.
 The x and y coordinates of a point on the xaxis is of the form (a, 0), and here the y coordinate of the point is equal to zero.
 The x and y coordinates of a point on the yaxis is of the form (0, b) and here the x coordinate of the point is equal to zero.
 The point represented in the first quadrant (x, y) has both positive values and is plotted with reference to the positive xaxis and the positive yaxis.
 The point represented in the second quadrant is (x, y) and is plotted with reference to the negative xaxis and positive yaxis.
 The point represented in the third quadrant (x, y) is plotted with reference to the negative xaxis and negative yaxis.
 The point represented in the fourth quadrant (x, y) is plotted with reference to the positive xaxis and negative yaxis.
How to Find X and Y Coordinates?
To find the x and y coordinates of a given point,
 See what is its perpendicular distance from the yaxis and it is your xcoordinate (x).
 See what is its perpendicular distance from the xaxis and it is your ycoordinate (y).
 Write the x and y values in the ordered pair (x, y) and change the signs of x and y according to the quadrant that it lies in.
Example: Find the x and y coordinates of the point A shown.
Solution:
Draw horizontal and vertical lines from point A to the y and xaxes respectively and see what they measure.
Now, keeping in mind that point A lies in quadrant 4, A = (2, 5).
Uses of X and Y Coordinates
The x and y coordinates of a point are useful to perform numerous operations of finding distance, midpoint, the slope of a line, equation of a line, etc. Further, some of the other important uses of the x and y coordinates of a point are as follows.
 The x and y coordinates help in locating a point on the coordinate axes.
 The x and y coordinates for two given points can be used to find the distance between the two points.
 The x and y coordinates for two points help in finding the slope of a line.
 The x and y coordinates for two points help in finding the equation of a line.
☛ Related Topics:
Examples on X and Y Coordinates

Example 1: Find the x and y coordinates of the midpoint of the line joining the points (5, 3), (1, 7).
Solution:
The given points are (x_{1}, y_{1}) = (5, 3), and (x_{2}, y_{2}) = (1, 7).
The midpoint of the line connecting these points is M.P = ((x_{1} + x_{2})/2, (y_{1} + y_{2})/2)
= ((5 + 1) / /2, (3 + 7) / 2)
= (6/2, 4/2)
= (3, 2)
Answer: Therefore, the x and y coordinates of the midpoint of the line joining the two points is (3, 2).

Example 2: What is the x and y coordinates of the centroid of the triangle having its vertices as (2, 0), (5, 2), (1, 4)?
Solution:
The three vertices of the triangle are (x_{1}, y_{1}) = (2, 0), (x_{2}, y_{2}) = (5, 2), (x_{3}, y_{3}) = (1, 4).
The coordinates of the centroid of the triangle is C = ((x_{1} + x_{2} + x_{3})/3, (y_{1} + y_{2} + y_{3})/3).
= ((2 + 5 + (1))/3, (0 + 2 + 4)/3)
= (6/3, 6/3)
= (2, 2)
Answer: Therefore, the x and y coordinates of the centroid of the triangle is (2, 2).

Example 3: If x = 3 and y = 4 and the point (x, y) is in quadrant II, then what are the x and y coordinates?
Solution:
The absolute values of x and y are given as follows:
x = 3 ⇒ x = ± 3
y = 4 ⇒ y = ± 4
Since (x, y) is in quadrant II, x is negative and y is positive. Therefore, x = 3 and y = 4.
Answer: The x and y coordinates ate 3 and 4 respectively.
FAQs on X and Y Coordinates
How Do You Identify X and Y Coordinates?
The x and y coordinates can be easily identified from the given point in the coordinate axes. For a point (a, b), the first value is always the x coordinate, and the second value is always the y coordinate.
How Do You Write the X and Y Coordinates?
The x and y coordinates are written as (x, y). Here the x and y values can have positive or negative values. The x value of the point is called abscissa, and the y value of the point is called ordinate.
Which is First X or Y Coordinate?
We always write the xcoordinate first and then the ycoordinate. We write as (x, y) and we call it an "ordered pair" as there is importance for the order.
What Is the X and Y Coordinates In The Four Quadrants?
The values of x and y coordinates of a point in the four quadrants can be understood from the below points.
 If (x, y) is in quadrant 1 then x > 0 and y > 0.
 If (x, y) is in quadrant 2 then x < 0 and y > 0.
 If (x, y) is in quadrant 3 then x < 0 and y < 0.
 If (x, y) is in quadrant 4 then x > 0 and y < 0.
What Are the X and Y Coordinates Of The Origin?
The x and y coordintes of the origin is (0, 0). It is usually represented with the letter 'O'.
visual curriculum