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Define linear equation and function?Are they the same? Why or why not?

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monkeyhead | Student, College Freshman | eNotes Newbie

Posted May 9, 2010 at 10:32 PM via web

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Define linear equation and function?

Are they the same? Why or why not?

Tagged with algebra, math

4 Answers | Add Yours

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neela | High School Teacher | Valedictorian

Posted May 10, 2010 at 3:50 AM (Answer #1)

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A linear equation is an equation with one or more variables but the degree of the highest of the  terms of the equation  is one.

Example : 5x+3y = 10 ,  x+3y+z = 15 , 5x +8= 3x-7 etc.

A function is a relation between two sets in such a way that every element of one set is reated to a unique element of the second set. A linear function definitely is linear equation or viceversa. But the purpose and perspectives of the equation and function is slighly different. We use function and graph from the purpose of analysis of relation. In equation we want particular solution of the variables.

 

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dpungartnik | Student , Undergraduate | eNoter

Posted May 10, 2010 at 1:50 AM (Answer #2)

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Linear equation : An equation of the form y = ax + b

it is an algebraic equation in which each term is either a constant or the product of a constant and (the first power of) a single variable.An equation whereby letters represent real numbers and whose graph is a line

Linear function:

Any function whose graph is a straight line. A function with no exponents other than one and with no products of the variables (eg, y=x+4, y= -4, and 3x-4y = 1/2 are linear functions)

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jscorpio43 | Middle School Teacher | eNoter

Posted May 12, 2010 at 11:03 AM (Answer #3)

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A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and the first power of a single variable. y=mx+b

Linear functions are functions that have x as the input variable, and x is raised only to the 1st power
2x+4y=10

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Wiggin42 | Student , Grade 12 | eNoter

Posted April 23, 2014 at 11:16 AM (Answer #4)

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A linear equation is a function whose highest degree is 1. (x^1). So all linear equations are functions, but not all functions are linear equations. A function is a set of data points so that no two y values share the same x value. (Vertical line test for functions.) 

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