The ebook Elementary Calculus is based on material originally written by H.J. Keisler. For more information please read the copyright pages.

Home Real and Hyperreal Numbers Straight Lines Theorem 2: Linear Equation
 
del.icio.us Reddit Facebook StumbleUpon MySpace Twitter Search the VIAS Library  |  Index

Theorem 2: Linear Equation

THEOREM 2

Every linear equation determines a line.

PROOF

Case 1 B = 0. The equation Ax + C = 0 can be solved for x, x = — C/A. This is a vertical line.

Case 2 B ≠ 0. In this case, we can solve the give n equation for y, and the result is

01_real_and_hyperreal_numbers-72.gif

01_real_and_hyperreal_numbers-73.gif

This is a line with slope -A/B crossing the y-axis at -C/B.
Home Real and Hyperreal Numbers Straight Lines Theorem 2: Linear Equation

Last Update: 2006-11-15