www.VirtualNerd.com

How Do You Graph Ordered Pairs in Each Quadrant?

Graph the ordered pairs (4,5), (-3,1), (-5,-5), (6,-2), then determine which quadrant each ordered pair falls into.

Summary

  1. We use red to identify x-coordinates and purple to identify y-coordinates
  2. The x-coordinate comes first in an ordered pair and the y-coordinate comes second
  3. The red 'x' labels the x-axis and the purple 'y' labels the y-axis on the coordinate plane
  4. Positive x-values are to the right of the x-axis and negative x-values are to the left
  5. Positive y-values are above the y-axis and negative y-values are below
  6. Dashed lines are imaginary and lead to the location of a point
  7. Roman numerals are used to label the quadrants

Notes

    1. This is the first step whenever you are graphing points!
    2. A coordinate plane is just two lines, the x- and y-axis, drawn perpendicular to each other
    1. Since we're dealing with a few points, a table helps organize the ordered pairs
    2. The table should have an ordered pair, '(x,y)', column, and 'x' and 'y' columns
    3. The x-coordinate comes first in an ordered pair and the y-coordinate comes second
    1. Our ordered pairs are:
    2. (4,5), (-3,1), (-5,-5), and (-6,2)
    1. The ordered pair (0,0) is known as the origin
    2. Positive x-values are to the right of the y-axis, so since 4 is positive we move to the right
    3. Positive y-values are above the x-axis, so since 5 is positive we move up
    4. Imagine lines through 'x=4' and 'y=5', and find their point of intersection
    5. The point of intersection of the two imaginary lines is the point (4,5)
    1. The ordered pair (0,0) is known as the origin
    2. Negative x-values are to the left of the y-axis, so since -3 is negative we move to the left
    3. Positive y-values are above the x-axis, so since 1 is positive we move up
    4. Imagine lines through 'x=-3' and 'y=1', and find their point of intersection
    5. The point of intersection of the two imaginary lines is the point (-3,1)
    1. The ordered pair (0,0) is known as the origin
    2. Negative x-values are to the left of the y-axis, so since -5 is negative we move to the left
    3. Negative y-values are below the x-axis, so since -5 is negative we move down
    4. Imagine lines through 'x=-5' and 'y=-5', and find their point of intersection
    5. The point of intersection of the two imaginary lines is the point (-5,-5)
    1. The ordered pair (0,0) is known as the origin
    2. Positive x-values are to the right of the y-axis, so since 6 is positive we move to the right
    3. Negative y-values are below the x-axis, so since -2 is negative we move down
    4. Imagine lines through 'x=6' and 'y=-2, and find their point of intersection
    5. The point of intersection of the two imaginary lines is the point (6,-2)
    1. There are four quadrants:
    2. I, II, III, and IV
    3. These are the Roman numerals for the numbers 1, 2, 3, and 4
    1. (4,5) was the first point we plotted
    2. Quadrant I contains only those points that have positive x and y-coordinates
    1. (-3,1) was the second point we plotted
    2. Quadrant II contains only those points that have negative x and positive y-coordinates
    1. (-5,-5) was the third point we plotted
    2. Quadrant III contains only those points that have negative x and y-coordinates
    1. (6,-2) was the fourth point we plotted
    2. Quadrant IV contains only those points that have positive x and negative y-coordinates
    1. Coordinate pairs are the same thing as ordered pairs
    2. (4,5) lies in Quadrant I
    3. (-3,1) lies in Quadrant II
    4. (-5,-5) lies in Quadrant III
    5. (6,-2) lies in Quadrant IV