Content deleted Content added
Standardize math. Using the ugly mvar/math method for now, still not convinced it is better than the HTML style |
Section titles |
||
Line 2:
In [[calculus]] and related areas of mathematics, a '''linear function''' from the real numbers to the real numbers is a function whose graph is a [[line (geometry)|line]] in the plane.<ref>Stewart 2012, p. 23</ref>
== Properties
[[Image:wiki_linear_function.png|thumb|right|Graph of the linear function: {{math|1=''y''(''x'') = −''x'' + 2}}]]<!-- people, find an SVG image please instead of this abomination -->
Line 17:
A the graph of a nonconstant linear function has exactly one intersection point with the {{mvar|x}}-axis. This point is {{math|({{sfrac|−''b''|''a''}}, 0)}}. From this, it follows that a nonconstant linear function has exactly one [[zero of a function|zero]] or root. That is, there is exactly one solution to the equation {{math|1=''ax'' + ''b'' = 0}}. The zero is {{math|1=''x'' =}} {{sfrac|−''b''|''a''}}.
==
[[Image: wiki_linearna_funkcija_eks1.png|thumb||right]]<!-- are PNG and a translit from a foreign language necessary? -->
The points on a line have coordinates which can also be thought of as the solutions of [[linear equation]]s in two variables (the equation of the line). These solution sets define functions which are linear functions. This connection between linear equations and linear functions provides the most common way to produce linear functions.
| |||