1.4 Lines

# 1.4 Lines - If m> 0 the line rises from left to right the...

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Lines Lines Section 1.4

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Defn. of Slope of a Line Defn. of Slope of a Line The slope m of a nonvertical line passing through the points (x 1 , y 1 ) and (x 2 , y 2 ) is 2 1 1 2 1 2 , x x x x y y x y m - - = =
Summary of Eqns of Lines Summary of Eqns of Lines 1. General form: Ax + By + C = 0 2. Vertical line: x = a (slope = und.) 3. Horizontal line: y = b (slope=0) 4. Point-slope form: y – y 1 = m(x – x 1 ) 5. Slope-intercept form: y = mx + b

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Parallel & Perpendicular Parallel & Perpendicular Lines Lines 2 nonvertical lines are parallel if their slopes are equal ( m 1 = m 2 ). 2 nonvertical lines are perpendicular if their slopes are negative reciprocals. 2 1 1 m m - =
undefined slope zero slope positive slope negative slope

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Properties of Slopes Properties of Slopes The slope of a nonvertical line is a number m that measures how steeply the line rises or falls.

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Unformatted text preview: If m > 0, the line rises from left to right; the larger m is, the more steeply the line rises. If m = 0, the line is horizontal. If m < 0, the line falls from left to right; the larger is, the more steeply the line falls. m The connection between the explicit form of an arithmetic sequence, and the slope-intercept form of a line, y = mx + b , is as follows. The slope of the line corresponds to the common difference of the sequence, m = d . The y-intercept represents the value of the first term of the sequence minus the difference, 1 ( 1) n u u n d = +-1 b u d =-Joke Time Joke Time What is a reptile’s favorite movie? The Lizard of Oz What do you get when you cross an elephant and Darth Vader? An elevader...
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1.4 Lines - If m> 0 the line rises from left to right the...

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