Linear function (calculus): Difference between revisions

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fixing after CBM’s roughly s/<math>/{{math|/g; s|</math>|}}|g; conversion, making his vague thoughts more sharply explicated, as well as fixes to my few inadvertent repetitions and misspells
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Since the graph of a linear function is a nonvertical line, this line has exactly one intersection point with the {{mvar|y}}-axis. This point is {{math|(0, ''b'')}}.
 
A theThe 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|''ax'' + ''b''<nowiki> = 0</nowiki>}}. The zero is {{math|''x''<nowiki> =</nowiki>}}&nbsp;{{sfrac|−''b''|''a''}}.
 
==Slope==