Section 2.5 Other Equations of Lines  Point-Slope Form (y – y 1 )=m(x – x 1 )  Special pairs of lines: Parallel Lines m 1 = m 2 Perpendicular lines m.

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Presentation transcript:

Section 2.5 Other Equations of Lines  Point-Slope Form (y – y 1 )=m(x – x 1 )  Special pairs of lines: Parallel Lines m 1 = m 2 Perpendicular lines m 1 = -1 / m

Point-Slope Form of a Line  Slope-Intercept Form y = mx + b Given an equation, it’s easy to find its slope and y-intercept, and graph it  Standard Form Ax + By = C Given an equation, it’s easy to find both intercepts, using them to graph it  Point-Slope Form (y – y 1 ) = m(x – x 1 ) Given a slope and any point, it’s easy to write a line’s equation 2.52

Writing a Line’s Graph using the slope and any one point (x 1,y 1 ) Was this step Really Necessary? (3,4) (5,3) 2.53

Writing an Equation in Function Form (slope/intercept) : What if all we know are 2 points on a line? 2.54

Application 2.55

Slopes of Parallel Lines m 1 = m 2 But wait! How can you be sure that it’s not the same line ? AND different y-intercepts! 2.56

Slopes of Perpendicular Lines m 1 = -1 / m

Slopes of Perpendicular Lines m 1 = -1 / m

Overview -  2.6 The Algebra of Functions