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Points on the Coordinate Plane

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What are the coordinates of a point called?

We can roughly imagine the top surface of our desk which stretches in every direction, North, South, East and West.

We need to imagine that these lines are constantly running, through the walls, through the next room, roads, hills, forest, streets, oceans, rivers etc.

In Math, a plane means a flat surface area that extends to every direction.

In Math we always use a coordinate plane. The coordinate plane is two number lines running through each other. One horizontal, with left negative and right positive and the other vertical with up as positive and down as negative (as shown in the figure above).

The horizontal line is called the x-axis and the vertical are termed as the y-axis.

Now how do we identify a point of origin?

An origin is the point where two number lines meet.

So how do we recognize a point?

To locate a point we need to find out the coordinates. Point coordinates are just like an address of a particular location. We always write the x coordinates first and then the y coordinate within the parenthesis.

How do we divide a coordinate plane into 4 sections?

Name the coordinates on the plane in different colours:

  1. Black
  2. Blue
  3. Green
  4. Red
  5. Purple
  6. Name the coordinates in the third quadrant.
  7. What are the color coordinates in the second quadrant?
Answer key
  1. (-5, 5)
  2. (-2, 2)
  3. (3, 4)
  4. (4, -3)
  5. (-5, -3)
  6. Purple: (-5, -3)
  7. Black and blue

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