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Core skills · Level 8

Graphs & coordinates

Find points on a grid and read straight-line graphs.

Learn with Kutty

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Learn with Kutty
The idea

A point is written (across, up).

xy1234562468101214(1, 3)(2, 5)(3, 7)(5, 11)
xy1234562468101214(1, 3)(2, 5)(3, 7)(5, 11)

Look: These points all sit on one straight line.

✏️ Your turn!

Type your answer and press Check. Kutty will tell you if it is right.

  1. 1Which line is (0, 4) on?

  2. 2From the table, what does 2 km cost?

  3. 3Where does the fare line start?

! Careful!

  • ✗Plotting (3, 7) as 3 up, 7 along.

    ✓Along first, then up.

  • ✗Joining points that should not be joined.

    ✓Join them only if in-between values make sense.

See the whole lesson on one page

A point is written (across, up).

The two lines meet at (0, 0). Plot pairs from a table. If the points make a straight line, you can read values in between.

Think of it like thisGo along the corridor first, then up the stairs. (3, 7) means 3 along, then 7 up.

xy1234562468101214(1, 3)(2, 5)(3, 7)(5, 11)
xy1234562468101214(1, 3)(2, 5)(3, 7)(5, 11)
These points all sit on one straight line.

Solved together

Question

An auto costs ₹30 to start plus ₹15 for each km. What does 4 km cost?

  1. Make a table.

    km01234₹3045607590
    km₹030145260375490
  2. Plot the points. They make a straight line.

    xy0.511.522.533.544.55102030405060708090100(4, 90)
    xy0.511.522.533.544.55102030405060708090100(4, 90)

Answer4 km costs ₹90.

Now practise it

Kanakku makes new questions on graphs & coordinates every time. It shows the working and gives a hint when you are stuck.

Play and practise