Graphing Ordered Pairs

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Presentation transcript:

Graphing Ordered Pairs

Quadrant II where x is negative and y is positive y axis Quadrant II where x is negative and y is positive Quadrant I where both x and y are positive x axis origin Quadrant IV where x is positive and y is negative Quadrant III where both x and y are negative

(x,y) The 1st coordinate, or x, tells us how far to go left or right. Positive= Right Negative = Left. The 2nd 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. y 3 2 (-3, -2) 1 x -1 -2 -3 -3 -2 -1 1 2 3

Plot the y number moving from your new position down 2 when the number is negative. 3 2 (-3, -2) 1 x -1 -2 -3 -3 -2 -1 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 x -1 -2 -3 -3 -2 -1 1 2 3

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 x -1 -2 -3 -3 -2 -1 1 2 3

Plot This Coordinate (-3, -3) y 3 2 1 x -1 -2 -3 -3 -2 -1 1 2 3

Plot This Coordinate (-1, 2) y 3 2 1 x -1 -2 -3 -3 -2 -1 1 2 3

Plot This Coordinate (1, -1) y 3 2 1 x -1 -2 -3 -3 -2 -1 1 2 3

Plot This Coordinate (2, -2) y x

Plot This Coordinate (-3, -2) y x

WRITE THE COORDINATES FOR EACH POINT B: (4, 6) C: (2, 1) D: (-4, 3) E: (-5, 0) F: (-3, -2) G: (0, -4) H: (4, -4)

Horizontally Vertically Equally One cm apart Question #1: Grid Lines The lines of a grid are spaced: Horizontally Vertically Equally One cm apart The best answer is: Equally. Lines run vertically and horizontally. The distance between them is arbitrary, but must be equal.

Question #2: Axes Horizontal Vertical Parallel Perpendicular Coordinate system axes are: Horizontal Vertical Parallel Perpendicular The best answer is: Perpendicular. One axis is horizontal; the other is vertical. They meet at a 90° angle, like an upside down T.

Question #3: Origin (0,0) {0,0} (1,1) {1,1} The coordinates of the origin are: (0,0) {0,0} (1,1) {1,1} 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.

Question 4: Addresses North South Vertical Horizontal The 7 in the address (5,7) indicates units: The best answer is: Vertical 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 (9,8) (8,9) (10, 9) (9,10) The location of the point shown is: (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 (9,2) I State the coordinate and the quadrant. (4,-3) IV (4,3) II (2,9) III State the coordinate and the quadrant. IV I II III The best answer is:(4,-3) IV Below zero (the origin) is minus units. Quadrants are indicated in Roman Numerals.

Graphing Ordered Pairs