Chapter 2 Section 2 Part II Algebra 2 Notes January 13, 2009 Warm-Ups Create a mapping of the following relation. Determine whether or not it is a function: {(-3.5, 5), (0, -2), (0, 4), (1, -2)} Find the slope of the intercepts of the following line: Find the slope of the line graphed to the right: 2 5 -2 Quick Review Point-Slope Form Standard Form: Slope-Intercept Form: Writing an Equation Write in standard form an equation of the line with the slope through the point (8, -1) Try One! Write in standard form the equation of a line with slope 2 which runs through the point (4, -2) Writing an Equation Write in point-slope form the equation of the line through the points (1, 5) and (4, -1) Write in point-slope form the equation of the line through the points (5, 0) and (-3, 2) Special Properties of Lines Page 66 Horizontal Line Slope is Zero Vertical Line Slope is Undefined Special Properties of Lines Continued Perpendicular Lines Slope: Opposite Reciprocals of each other Parallel Lines Same Slope Different y-intercepts Write an Equation Write an equation of the line through the point (0, 4) and perpendicular to the line: Try One! Write an equation of the line through the point (5, -3) and perpendicular to the line: Piecewise Activity Page 71 A piecewise function has different rules for different parts of it’s domain. ◦ The different “pieces” of the graph each has its own function Reminder: What’s a domain? In a group, do #3, 4, and 5 Homework #5 Pg 68 #20, 24, 26, 30, 38, 39, 43, 45, 48, 51, 57, 60