Ctrl+k

Plot ordered pairs

An ordered pair (x,y)(x, y) identifies a unique point on the coordinate plane: the first coordinate gives horizontal displacement from the origin, and the second gives vertical displacement. Integer coordinates may lie in any quadrant or on an axis, with signs indicating direction; preserving coordinate order prevents confusing a point with its reflection. This understanding is limited to plotting and interpreting integer-coordinate points, not rational or decimal coordinates, graphing equations, or transformations.

Detailed Explanation: Plot ordered pairs

An ordered pair (x,y)(x,y) tells you where to plot a point on the coordinate plane.

  • The first number, xx, tells you how far to move left or right.
    • Positive: move right.
    • Negative: move left.
  • The second number, yy, tells you how far to move up or down.
    • Positive: move up.
    • Negative: move down.

Always use the coordinates in order: move horizontally first, then vertically.

Example: Plot the point (−3,2)(-3, 2).

  1. Start at the origin, (0,0)(0,0).
  2. Look at the xx-coordinate, −3-3. Move 33 units left.
  3. Look at the yy-coordinate, 22. From there, move 22 units up.
  4. Mark the point and label it (−3,2)(-3,2).

The point (−3,2)(-3,2) is in Quadrant II because it is left of the yy-axis and above the xx-axis. Do not switch the coordinates: (2,−3)(2,-3) would be a different point.

Learn by doing: Plot ordered pairs

Click a topic below to practice the foundational skills you'll need, learn the steps, or master this skill

    Practice with unlimited practice problems

    Cartesian Grid - X and Y values of Points

      ?