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Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 4.2 - 1 3.2 Slope of a Line.

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Presentation on theme: "Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 4.2 - 1 3.2 Slope of a Line."— Presentation transcript:

1 Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 4.2 - 1 3.2 Slope of a Line

2 Copyright © 2010 Pearson Education, Inc. All rights reserved. Slope of a Line Find the Slope of a Line Given Two Points on the Line

3 Copyright © 2010 Pearson Education, Inc. All rights reserved. Slope of a Line Finding the Slope of a Line Find the slope of the line containing the points (–3, 1) and (3, 3). Rise = 3 – 1 = 2 Run = 3 – (–3) = 6 There is a rise of 1 unit for a run of 3 units.

4 Copyright © 2010 Pearson Education, Inc. All rights reserved. Slope of a Line Find the Slope of a Line given Two Points on the Line

5 Copyright © 2010 Pearson Education, Inc. All rights reserved. Slope of a Line Find the Slope of a Line Given the Equation of the Line

6 Copyright © 2010 Pearson Education, Inc. All rights reserved. Slope of a Line Finding the Slope of Horizontal and Vertical Lines Find the slope of the line containing the points (–3, 2) and (4, 2). Find the slope of the line containing the points (1, 3) and (1, –2). Since the slope is 0, this is a horizontal line. Since the slope is undefined, this is a vertical line.

7 Copyright © 2010 Pearson Education, Inc. All rights reserved. Slope of a Line Finding the Slope from an Equation

8 Copyright © 2010 Pearson Education, Inc. All rights reserved. Slope of a Line Using the Slope and a Point to Graph a Line Locate the point P(–5, 5). From the slope formula: So, move down 2 units and then 3 units to the right to the point R(–2, 3). Down 2 Right 3 P R

9 Copyright © 2010 Pearson Education, Inc. All rights reserved. Slope of a Line Orientation of a Line in the Plane

10 Copyright © 2010 Pearson Education, Inc. All rights reserved. Slope of a Line Slopes of Parallel and Perpendicular Lines Since parallel lines have the same slope, any line parallel to this line will have slope –2.

11 Copyright © 2010 Pearson Education, Inc. All rights reserved. Slope of a Line Slopes of Parallel and Perpendicular Lines

12 Copyright © 2010 Pearson Education, Inc. All rights reserved. Slope of a Line Slopes of Parallel and Perpendicular Lines

13 Copyright © 2010 Pearson Education, Inc. All rights reserved. Slope of a Line Interpreting Slope as Average Rate of Change Cindy purchased a new care in 2001 for $18,000. In 2006, the car had a value of $7500. At what rate is the car’s value changing with respect to time?

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