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Coordinate Plane Vocabulary Coordinate Coordinate Plane Ordered Pairs Origin Plot Quadrants X-axis Y-axis A coordinate plane is a plane containing a horizontal number line, the Quadrant II (-,+) x-axis, and a vertical number line, the y axis. The –5 –4 –3 –2 intersection of these axes is called the origin. Quadrant III (-,-) y 5 y-axis 4 3 Quadrant I (+,+) 2 1 –1 –1 –2 –3 –4 0 x-axis 1 2 x 3 4 5 Origin Quadrant IV (+,-) –5 The axes divide the coordinate-plane into four regions called quadrants, which are numbered I, II, III, and IV. Points on a coordinate plane are identified by ordered pairs. An ordered pair consists of two numbers in a certain order. The origin is the point (0,0). Ordered pairs are sometimes called coordinates. y 5 4 3 2 1 –5 –4 –3 –2 –1 –1 –2 Ordered pair (3, 2) x-coordinate Units right or left from 0 2 units up x y-coordinate Units up or down from 0 –3 –4 –5 0 1 2 3 3 units right 4 5 Example 1 Identify the quadrant that contains each point. y 5 A. Point S Point S lies in quadrant IV. B. Point T Point T lies in quadrant I. C. Point W Point W lies on the y-axis between Quadrants I and II 4 3 W T 2 1 –5 –4 –3 –2 –1 –1 –2 –3 –4 –5 0 x 1 2 3 4 5 S Practice Identify the quadrant that contains each point. y 5 A. Point N N Point N lies in quadrant II. B. Point X Point X lies in quadrant III. C. Point Y Point Y lies on the origin. 4 3 2 1 –5 –4 –3 –2 –1 –1 –2 X –3 –4 –5 0 x Y 1 2 3 4 5 Example 2 Plot (this means to graph) each point on a coordinate plane. y 5 A. Point D (3, 3) Start at the origin. Move 3 units right and 3 units up. B. Point E (–2, –3) Start at the origin. Move 2 units left and 3 units down. C. Point F (3, –5) Start at the origin. Move 3 units right and 5 units down. 4 3 D 2 1 –5 –4 –3 –2 –1 –1 –2 0 x 1 2 3 4 5 E –3 –4 –5 F Practice Plot each point on a coordinate plane. A. D (4, 4) Start at the origin. Move 4 units right and 4 units up. B. E (–2, 3) Start at the origin. Move 2 units left and 3 units up. C. F (–1, –2) Start at the origin. Move 1 unit left and 2 units down. y 5 E 4 3 D 2 1 0 –5 –4 –3 –2 –1 –1 –2 F –3 –4 –5 x 1 2 3 4 5 Example 3 Give the coordinates of each point. y A. Point X (–2, 5) Start at the origin. Point X is 2 units left and 5 units up. B. Point Y (–1, 0) 5 X 4 3 2 Y 1 –5 –4 –3 –2 –1 –1 –2 0 Start at the origin. Point Y is –3 one unit left on the x-axis. –4 –5 C. Point Z (3, –3) Start at the origin. Point Z is 3 units right and 3 units down. x 1 2 3 4 5 Z Practice Give the coordinates of each point. A. Point L (–4, 3) Start at the origin. Point L is 4 units left and 3 units up. B. Point M (–2, –2) y 5 4 3 L N 2 1 –5 –4 –3 –2 –1 –1 –2 M 0 x 1 –3 Start at the origin. Point M is –4 2 units left and 2 units down. –5 C. Point N (3, 4) Start at the origin. Point N is 3 units right and 4 units up. 2 3 4 5 Example 4 Identify the quadrant that contains each description. y A. Positive x-coordinate and a negative y-coordinate Quadrant IV B. Negative x-coordinate and a negative y-coordinate Quadrant III. C. X-coordinate of 0 On the y-axis 5 4 3 2 1 –5 –4 –3 –2 –1 –1 –2 –3 –4 –5 0 x 1 2 3 4 5