1.4 Lines

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

Info iconThis preview shows pages 1–9. Sign up to view the full content.

View Full Document Right Arrow Icon
Lines Lines Section 1.4
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
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 - - = =
Background image of page 2
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
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
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 - =
Background image of page 4
undefined slope zero slope positive slope negative slope
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
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.
Background image of page 6
Background image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Background image of page 8
Background image of page 9
This is the end of the preview. Sign up to access the rest of the document.

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...
View Full Document

{[ snackBarMessage ]}

Page1 / 9

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

This preview shows document pages 1 - 9. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online