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Linear

This version was saved 16 years, 5 months ago View current version     Page history
Saved by PBworks
on October 14, 2007 at 5:49:29 pm
 

Linear Function

 

Definition:

A linear function is a polynomial of degree one.  The graph of a linear function is a straight line.  The slope of a linear function, m, can be calculated using any two points on the line.  The slope is calculated as a fraction with the change in the rise of the line (y2 - y1) divided by the change in the run of the line (x2 - x1). 

slope formula Formula.

 

Formula for a Linear Function:

General Form: Ax + By + C = 0

 

Slope-Intercept Form: y = mx + b

 

Point-Slope Form: (y - y1) = m(x - x1)

 

Two-Point Form:  Formula

 

 

 

 

Linear Function Photos:

 

Photo Originator: Mr. Lee

 

 

 

Photo Description: This is a picture of the Chapel Bridge in Lucern, Switzerland that I took while on vacation.  The roof of this footbridge, originally constructed in 1333, can be modeled by a linear function.  I set the origin at the base of the stone tower.  Given this somewhat arbitrary origin, the roof of the bridge could be modeled by the function y = 0.25x + 2.

 

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