Chapter 3 Graphs and Functions Copyright 2015 2011

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

Chapter Sections 3. 1 – 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 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 3 -2 2

§ 3. 5 The Point-Slope Form of a Linear Equation Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 3 -

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. where m is the slope of the line and (x 1, y 1) is a specific point on the line. Example: point (1, 4) and slope = -3: Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 3 -4 4

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 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 3 -5 5

Perpendicular Lines Two lines are perpendicular when their slopes are negative reciprocals. Any vertical line is perpendicular to any horizontal line. m 1 = -1 m 2 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 3 -6 6