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Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Objective Plot points and lines on a coordinate plane. 1.4 Graphing With Coordinates.

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Presentation on theme: "Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Objective Plot points and lines on a coordinate plane. 1.4 Graphing With Coordinates."— Presentation transcript:

1 Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Objective Plot points and lines on a coordinate plane. 1.4 Graphing With Coordinates

2 Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Glossary Terms coordinates coordinate plane ordered pair origin quadrants x-axis x-coordinate y-axis y-coordinate 1.4 Graphing With Coordinates

3 Copyright © by Holt, Rinehart and Winston. All Rights Reserved. x y –2 2 2 –4 4 4 –1 –3 –5 A coordinate plane is a plane containing a horizontal number line, the x-axis, and a vertical number line, the y axis. The intersection of these axes is called the origin. The axes divide the coordinate-plane into four regions called quadrants, which are numbered I, II, III, and IV. 5 3 1 1 3 5 0 –3 –5 –1 Quadrant I Quadrant IV Quadrant II Quadrant III Origin x-axis y-axis 1.4 Graphing With Coordinates The Coordinate Plane

4 Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Ex 1: Identify the quadrant that contains each point. A). Point A A lies in quadrant II. B). Point B B lies in quadrant IV. C). Point C C lies in quadrant I. A B C x y –2 2 2 –4 4 4 –1 –3 –5 5 3 1 1 3 5 0 –3 –5 –1 The Coordinate Plane 1.4 Graphing With Coordinates

5 Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Ex 1a: Identify the quadrant that contains each point. A. S S lies in quadrant IV. B. T T lies in quadrant III. C. W W lies on the y-axis between Quadrants I and II W S T x y –2 2 2 –4 4 4 –1 –3 –5 5 3 1 1 3 5 0 –3 –5 –1 1.4 Graphing With Coordinates The Coordinate Plane

6 Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Key Skills Graph an equation by plotting points. 1.4 Graphing With Coordinates Make a table for the equation y = x + 1. Find the values for y by substituting 1, 2, 3, 4, and 5 for x. x12345x12345 y23456y23456 y = 1 + 1 = 2

7 Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Key Skills Graph an equation by plotting points. 1.4 Graphing With Coordinates Make a table for the equation y = x + 1. Find the values for y by substituting 1, 2, 3, 4, and 5 for x. x12345x12345 y23456y23456 y = 1 + 1 = 2

8 Copyright © by Holt, Rinehart and Winston. All Rights Reserved. x12345x12345 y23456y23456 Key Skills Graph an equation by plotting points. 1.4 Graphing With Coordinates Make a table for the equation y = x + 1. Find the values for y by substituting 1, 2, 3, 4, and 5 for x. y = 2 + 1 = 3

9 Copyright © by Holt, Rinehart and Winston. All Rights Reserved. x12345x12345 y23456y23456 Key Skills Graph an equation by plotting points. 1.4 Graphing With Coordinates Make a table for the equation y = x + 1. Find the values for y by substituting 1, 2, 3, 4, and 5 for x. y = 3 + 1 = 4

10 Copyright © by Holt, Rinehart and Winston. All Rights Reserved. x12345x12345 y23456y23456 Key Skills Graph an equation by plotting points. 1.4 Graphing With Coordinates Make a table for the equation y = x + 1. Find the values for y by substituting 1, 2, 3, 4, and 5 for x. y = 4 + 1 = 5

11 Copyright © by Holt, Rinehart and Winston. All Rights Reserved. x12345x12345 y23456y23456 Key Skills Graph an equation by plotting points. 1.4 Graphing With Coordinates Make a table for the equation y = x + 1. Find the values for y by substituting 1, 2, 3, 4, and 5 for x. y = 5 + 1 = 6

12 Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Key Skills Make a table for the equation y = 2x, and find the values for y by substituting 1, 2, 3, 4, and 5 for x. 1.4 Graphing With Coordinates x 1 2 3 4 5 y 4 6 8 10 y = 2x 0 1 2 3 4 5 6 7 8 9 98765432109876543210 2

13 Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Key Skills Make a table for the equation y = 3x, and find the values for y by substituting 1, 2, 3, 4, and 5 for x. 1.4 Graphing With Coordinates x 1 2 3 4 5 y 6 9 12 15 y = 3x 0 1 2 3 4 5 6 7 8 9 98765432109876543210 3

14 Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Key Skills Make a table for the equation y = 3x – 3, and find the values for y by substituting 1, 2, 3, 4, and 5 for x. 1.4 Graphing With Coordinates x 1 2 3 4 5 y 3 6 9 12 y = 3x – 3 0


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