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 x-axis, and y represents the position of the point with reference to the y-axis.
Let us learn more about x and y coordinates, their location, and their uses.
| 1. | What Are X and Y Coordintes? |
| 2. | X and Y Coordinates in Four Quadrants |
| 3. | How to Find X and Y Coordinates? |
| 4. | Uses of X and Y Coordinates |
| 5. | Examples on X and Y Coordinates |
| 6. | Practice Questions |
| 7. | FAQs on X and Y Coordinates |
What Are X and Y Coordinates?
X and Y coordinates is an address, which helps to locate a point in two-dimensional 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 x-axis, and the y value is the position of the point with reference to the y-axis. 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 y-axis. i.e., it is the horizontal distance from the point to the y-axis.
- Ordinate (y-coordinate) : It is the y value in the point (x, y)., and is the length of the perpendicular drawn from the point to the x-axis. i.e., it is the vertical distance from the point to the x-axis.
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 x-axis and y-axis.
- The x and y coordinates of a point on the x-axis 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 y-axis 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 x-axis and the positive y-axis.
- The point represented in the second quadrant is (-x, y) and is plotted with reference to the negative x-axis and positive y-axis.
- The point represented in the third quadrant (-x, -y) is plotted with reference to the negative x-axis and negative y-axis.
- The point represented in the fourth quadrant (x, -y) is plotted with reference to the positive x-axis and negative y-axis.
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 y-axis and it is your x-coordinate (x).
- See what is its perpendicular distance from the x-axis and it is your y-coordinate (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 x-axes 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:
- Midpoint Calculator
- Distance Calculator
- Slope Calculator
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 x-coordinate first and then the y-coordinate. 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'.
