1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 3-1 Graphs and Functions Chapter 3.

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1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 3-1 Graphs and Functions Chapter 3

2 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter – Graphs 3.2 – Functions 3.3 – Linear Functions: Graphs and Applications 3.4 – The Slope-Intercept Form of a Linear Equation 3.5 – The Point-Slope Form of a Linear Equation 3.6 – The Algebra of Functions 3.7 – Graphing Linear Inequalities Chapter Sections

3 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 3-3 § 3.5 The Point-Slope Form of a Linear Equation

4 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 3-4 Point-Slope Form When the slope and a point on the line are known, we can use the point-slope form to determine the line. Example: point (1, 4) and slope = -3: where m is the slope of the line and (x 1, y 1 ) is a specific point on the line.

5 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 3-5 Parallel Lines Two lines are parallel when they have the same slope. Any two vertical lines are parallel to each other. m 1 = m 2

6 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 3-6 Perpendicular Lines Two lines are perpendicular when their slopes are negative reciprocals. Any vertical line is perpendicular to any horizontal line. m 1 = m2m2