262 Chapter 3 Graphing Linear Equations in Two Variables Section 3.3 Slope of a Line and Rate of Change Examples Example 1 Find the slope of the line between and m 7 152 3 1 12 4 3 11, 52 13, 72. Example 2 The slope of the line y 2 is 0 because the line is horizontal. Example 3 The slope of the line x 4 is undefined because the line is vertical. Example 4 The slopes of two distinct lines are given. Determine whether the lines are parallel, perpendicular, or neither. a. Parallel m1 7 and m2 7 1 5 and m2 5 b. Perpendicular 3 2 and m2 2 3 m1 c. m1 Neither Key Concepts The slope, m, of a line between two points and is given by 1x2, y22 m y2 y1 x2 x1 or change in y change in x The slope of a line may be positive, negative, zero, or undefined. If and represent the slopes of two parallel m1 m2 lines (nonvertical),then . m1 m2 m1 0 m2 0 If and represent the slopes of two nonvertical perpendicular lines, then 1 m2 m1 or equivalently,m1m2 1. 1x1, y12 Positive slope Negative slope Zero slope Undefined slope
miller_beginning_intermediate_algebra_4e_ch1_3
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