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X and Y Coordinates

In geometry, a coordinate plane is used for assigning a unique set of numbers. In 3 dimensions, coordinate system has mutually perpendicular axis that locate each of the 3 coordinates denoted as x, y and z.

A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates. The order of the coordinates is significant and they are sometimes identified by their position in an ordered tuple.

Related Calculators
X and y Intercept Calculator Solve for y
Calculate y Intercept
 

Graphing X Y Coordinates

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(X, Y) is the general form of the coordinates.

The X coordinate is generally plotted on horizontal axis.

The Y coordinate is generally plotted on vertical axis.

Both of the X and Y values are points of the coordinates.

Here is a simple example, lets graph (3, 2) coordinate on a graph sheet.

Select 3 on the x axis & then 2 on the y axis. Now, select the point where both the points meet.

Thus you got the coordinate for the given values (3, 2).

X Y Coordinates

Examples

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Here are problems based on x and y coordinate:

Solved Examples

Question 1: Graph the Equation 4x + y = 20

Solution:
 

We see that when

x = 1, 2, 3, 4

we have

Put x = 1

4(1) + y = 20

4 + y = 20

y = 20 - 4

y = 16

Put x = 2

4(2) + y = 20

8 + y = 20

y = 20 - 8

y = 12

Put x = 3

4(3) + y = 20

12 + y = 20

y = 20 - 12

y = 8

Put x = 4

4(4) + y = 20

16 + y = 20

y = 20 - 16

y = 4

In x y coordinates we have

(1, 16), (2, 12), (3, 8), and (4, 4)

Example based on X and Y Coordinates

The above graph forms a x y coordinates.

 

Question 2: Consider the equation 5x + y = 40 and draw a graph of it.
Solution:
 

We see that when

x = 2, 4, 6, 8

we have

Put x = 2

5(2) + y = 40

10 + y = 40

y = 40 - 10

y = 30

Put x = 4

5(4) + y = 40

20 + y = 40

y = 40 - 20

y = 20

Put x = 6

5(6) + y = 40

30 + y = 40

y = 40 - 30

y = 10

Put x = 8

5(8) + y = 40

40 + y = 40

y = 40 - 40

y = 0

In x y coordinates we have

(2, 15), (4, 20), (6, 10), and (8, 0)

X and Y Coordinates Examples

The above graph forms a x y coordinates.


 

Practice Problems

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Problem 1: Graph the points (5, 6), (-8, 0) and (0, 2) on a coordinate plane.

Problem 2: The points (-2, -4), (9, 7) and (8, -8) will fall in which quadrants?

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