Upload
mai
View
37
Download
0
Tags:
Embed Size (px)
DESCRIPTION
Chapter P.3 Lines In A Plane. Outline of Topics -Forms of a line -standard -slope-intercept -point slope -Slope -Horizontal & Vertical Lines -Parallel Lines & Perpendicular Lines -Interpolation & Extrapolation. Presenters- Greg Estabrooks & Tim Problem Solver- Amanda Johnson - PowerPoint PPT Presentation
Citation preview
Chapter P.3Lines In A Plane
Presenters- Greg Estabrooks & TimProblem Solver- Amanda JohnsonWriter- Sarah Newton
Outline of Topics-Forms of a line
-standard-slope-intercept-point slope-Slope
-Horizontal & Vertical Lines-Parallel Lines & Perpendicular Lines-Interpolation & Extrapolation
The Slope of a Linechange in ychange in x
y2 - y1
x2 – x1
Review of Slope
Forms of a LineStandard FormAx + By = C
Point Slope Formy = mx + b
Slope Intercept Formy - y1= m (x - x1)
m=slopex1= x coordinate of the point the line passes throughy1= y coordinate of the point the line passes through
m=slopeb= y-intercept
Short CutAltering different equations to represent the same line.
Standard Form to Slope Intercept
m= -A/B b=C/B
ExampleFind the equation of the line that passes through the point (1,-2) and has a slope of 3.
y-y1=m(x-x1)y-(-2)=3(x-1)y+2=3x-3y=3x-5
Horizontal & Vertical LinesHorizontal Line
-when the slope equals zero
y = kk = all real numbers
Vertical Line
-when the slope is undefined
x = k
Parallel LinesParallel Line- two lines are parallel if their slopes are equal
Slope of l = m1
Slope of m = m2
m1 = m2
Exampley= 2/3x – 7/3y – 4= 2/3 (x – 7)
- Though they are different lines and in different forms, the slopes of these lines are equal and therefore parallel.
Perpendicular Line- two lines are perpendicular if their slopes are opposite reciprocals
m1 = -1/ m2
Perpendicular Lines
Exampley= 2/3x – 7/3y – 4= -3/2 (x – 7)
- Though they are different lines and in different forms, the slopes of these lines are opposite reciprocals and therefore perpendicular.
Interpolation & ExtrapolationInterpolation-when the estimated point lies between two given points
Extrapolation- estimated point lies outside of the given points-the approximation of a point given a line
l = best fit linea =the lower bound, smallest # in datab =the upper bound, largest # in data
Interpolation- using the line of best fit to predict the value of x when it is between a and ba<x<b
Extrapolation- a prediction using the line of best fit x<a or x>b