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Coordinate plane

Grade 7 · Math · Free lesson

Hey there! Ready to explore a magical math map? Today, we are going to learn how to find any secret location using just two numbers!

Imagine a flat surface like a video game screen or a map. This is called a coordinate plane! It is built using two number lines that cross each other right in the middle.

The flat line running left to right is the x-axis. The vertical line running up and down is the y-axis. They meet at a special starting point called the origin, which is at (0, 0).

x y Origin (0,0)

To find a point, we always take two steps. First, we walk along the x-axis (left or right). Second, we jump up or down along the y-axis. We write this address as (x, y)!

1. Over to 3 2. Up to 1 (3, 1)
✏️ Worked example

Find the coordinates of a point that starts at the origin (0,0), moves 4 units to the right, and then moves 3 units down.

  1. Start at the center origin, which is (0, 0).
  2. Look at the first direction: move 4 units to the right. This is our x-value, so x = 4.
  3. Look at the second direction: move 3 units down. Since down is negative on the vertical line, our y-value is -3.
  4. Put the two numbers together in the (x, y) format.
  5. The final coordinate of the point is (4, -3)!
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