ch 6.1 & 6.2 slope of parallel and perpendicular lines
TRANSCRIPT
Ch6.1_6.2_SlopeParallelPerpendicularLines.notebook December 05, 2011
What is the slope?
Ch6.1_6.2_SlopeParallelPerpendicularLines.notebook December 05, 2011
Chapter 6.1 and 6.2SlopeIntercept FormParallel & Perpendicular Lines
Ch6.1_6.2_SlopeParallelPerpendicularLines.notebook December 05, 2011
SLOPEThe "steepness" of a graph
Positive slope:
Negative slope:
slope = riserun
2 points are needed to find the slope of a line
(x1, y1) (x2, y2)y2 y1x2 x1
Find the slope
Find the slope(1, 3) (4, 0) y2 y1
x2 x1
Find the slope(2, 1) (3, 1) y2 y1
x2 x1
Find the slopey2 y1x2 x1
+ up down
+ right left
Ch6.1_6.2_SlopeParallelPerpendicularLines.notebook December 05, 2011
SlopeIntercept Form
y = mx + bm = slope b = yintercept
5) y = x 6) y = 2
Ch6.1_6.2_SlopeParallelPerpendicularLines.notebook December 05, 2011
Parallel and Perpendicular LinesParallel: slopes are equal
never intersect
Perpendicular: slopes are negative reciprocals
m = 2
m = 2
m = 3
m = 13
intersect at 900
Example: y = 4x + 3
Slope of parallel line:
Slope of perpendicular line:
Example: Line through the points(2,1) and (6, 7)
Slope of parallel line:
Slope of perpendicular line:
Example: Are the following lines parallel, perpendicular, or neither?
6x + 2y = 18
3y 12 = 9x
Ch6.1_6.2_SlopeParallelPerpendicularLines.notebook December 05, 2011
Homework:Worksheet 6.1 and 6.2