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How Do You Identify Points on a Graph?

Name the ordered pair for each of the points shown in the coordinate plane, and identify which quadrant each point falls into

Summary

  1. 'x' and 'y' label each axis
  2. The origin, or the point (0,0), is where the x-axis and y-axis cross each other
  3. First start from the origin and count the horizontal units along the x-axis until you reach the point
  4. The x-coordinates to the right of the origin are positive, and those to the left are negative
  5. Then go back to the origin and count the number of vertical units along the y-axis until you reach the point
  6. The y-coordinates above the origin are positive, and those below are negative
  7. 'I', 'II', 'III', and 'IV' are quadrants and are always labeled with Roman numerals

Notes

    1. Recall that ordered pairs consist of x and y-coordinates and have the form '(x,y)'
    2. We want to pick out what 'x' and 'y' are in each of our ordered pairs
    1. For Point A, count 4 units to the right of the origin and 5 units up, which is the point (4,5)
    2. Always start by counting the 'x' units, then count the 'y' units
    3. The x-coordinates to the right of the origin are positive, and those to the left are negative
    4. The y-coordinates above the origin are positive, and those below are negative
    1. For Point B, count 3 units to the left of the origin and 1 unit up, which is the point (-3,1)
    2. Always start by counting the 'x' units, then count the 'y' units
    3. The x-coordinates to the right of the origin are positive, and those to the left are negative
    4. The y-coordinates above the origin are positive, and those below are negative
    1. For Point C, count 5 units to the left of the origin and 5 units down, which is the point (-5,-5)
    2. Always start by counting the 'x' units, then count the 'y' units
    3. The x-coordinates to the right of the origin are positive, and those to the left are negative
    4. The y-coordinates above the origin are positive, and those below are negative
    1. For Point D, count 6 units to the right of the origin and 2 units down, which is the point (6,-2)
    2. Always start by counting the 'x' units, then count the 'y' units
    3. The x-coordinates to the right of the origin are positive, and those to the left are negative
    4. The y-coordinates above the origin are positive, and those below are negative
    1. Start by recalling what the quadrants are and labeling them on the graph
    1. Quadrant I contains only positive coordinates
    2. 'I' is the Roman numeral that means '1'
    3. The x-coordinate is 4, which is positive
    4. The y-coordinate is 5, which is also positive
    1. Quadrant II contains points with negative x-coordinates and positive y-coordinates
    2. 'II' is the Roman numeral that means '2'
    3. The x-coordinate is -3, which is negative
    4. The y-coordinate is 1, which is positive
    1. Quadrant III contains only negative coordinates
    2. 'III' is the Roman numeral that means '3'
    3. The x-coordinate is -5, which is negative
    4. The y-coordinate is also -5, which is still negative
    1. Quadrant IV contains points with positive x-coordinates and negative y-coordinates
    2. 'IV' is the Roman numeral that means '4'
    3. The x-coordinate is 6, which is positive
    4. The y-coordinate is -2, which is negative