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miller_intermediate_algebra_4e_ch1_3

Section 2.2 Slope of a Line and Rate of Change Key Concepts The slope m of a line passing through two distinct points ( ) and ( ) is given by x1, y1 x2, y2 m y2 y1 x2 x1 , x2 x1 0 The slope of a line may be positive, negative, zero, or undefined. Two parallel (nonvertical) lines have the same slope: m1 m2. Two lines are perpendicular if the slope of one line is the opposite of the reciprocal of the slope of the other line: 1 m2 m1 or equivalently, m1m2 1 Examples Example 1 The slope of the line passing through (1,3) and (3,7) is Example 2 Positive slope Negative slope Zero slope Undefined slope Example 3 The slopes of two lines are given. Determine whether the lines are parallel, perpendicular, or neither. a. b. m1 7 and m2 7 Parallel c. m1 3 2 and m2 2 3 Neither m1 1 5 and m2 5 Perpendicular m 7 132 3 1 10 4 5 2 220 Chapter 2 Linear Equations in Two Variables and Functions


miller_intermediate_algebra_4e_ch1_3
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