Graphing Ordered Pairs Quadrant II where x is
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Graphing Ordered Pairs
Quadrant II where x is negative and y is positive y is x a Quadrant I where both x and y are positive x axis origin Quadrant III where both x and y are negative Quadrant IV where x is positive and y is negative
(x, y) The 1 st coordinate, or x, tells us how far to go left or right. Positive= Right Negative = Left. The 2 nd number, or y, tells us how far to go up or down. Positive = up Negative = down.
Plot the x number first moving to the left when the number is negative. 3 y 2 (-3, -2) 1 0 x -1 -2 -3 -3 -2 -1 0 1 2 3
• Plot the y number moving from your new position down 2 when the number is negative. y 3 2 (-3, -2) 1 0 x -1 -2 -3 -3 -2 -1 0 1 2 3
How to Plot in 4 Quadrants • When x is positive and y is negative, plot the coordinate in this manner. y 3 2 (2, -2) 1 0 -1 -2 -3 -3 -2 -1 0 1 2 3 x
How to Plot in 4 Quadrants • When x is negative and y is positive, plot the coordinate in this manner. y 3 2 (-2, 2) 1 0 x -1 -2 -3 -3 -2 -1 0 1 2 3
Plot This Coordinate (-3, -3) y 3 2 1 0 -1 -2 -3 -3 -2 -1 0 1 2 3 x
Plot This Coordinate (-1, 2) y 3 2 1 0 x -1 -2 -3 -3 -2 -1 0 1 2 3
Plot This Coordinate (1, -1) y 3 2 1 0 x -1 -2 -3 -3 -2 -1 0 1 2 3
Plot This Coordinate (2, -2) y x
Plot This Coordinate (-3, -2) y x
WRITE THE COORDINATES FOR EACH POINT A: (6, 5) B: (4, 6) C: D: E: F: G: H: (2, 1) (-4, 3) (-5, 0) (-3, -2) (0, -4) (4, -4)
Question #1: Grid Lines • The lines of a grid are spaced: The best answer is: Equally. Lines run vertically and horizontally. The distance between them is arbitrary, but must be equal. • Horizontally • Vertically • Equally • One cm apart
Question #2: Axes • Coordinate system axes are: The best answer is: Perpendicular. One axis is horizontal; the other is vertical. They meet at a 90° angle, like an upside down T. • Horizontal • Vertical • Parallel • Perpendicular
Question #3: Origin • The coordinates of the origin are: The best answer is: (0, 0) The origin is the point where the axes intersect; the zero point. It serves as a relative reference for all other addresses. • (0, 0) • {0, 0} • (1, 1) • {1, 1}
Question 4: Addresses • The 7 in the address (5, 7) indicates units: The best answer is: Vertical • • North South Vertical Horizontal Each address on a plane coordinate system has two values. The first indicates units horizontally from the origin. The second value indicates units vertical from the origin. In (5, 7), the point is 7 units vertically offset from (0, 0).
Question #5: Plotting • The location of the point shown is: ? 0 ? • • (9, 8) (8, 9) (10, 9) (9, 10) The best answer is: (8, 9) From the origin, the first value is units horizontal and the second value is units vertical.
Question #6: Quadrants • State the coordinate and the quadrant. II I III IV • (9, 2) I • (4, -3) IV • (4, 3) II • (2, 9) III The best answer is: (4, -3) IV Below zero (the origin) is minus units. Quadrants are indicated in Roman Numerals.
Graphing Ordered Pairs
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