Definition: A linear function is a function whose graph is a line. Regulations: A linear equation in 2 variables is a linear function. Examples of linear equations: \bbox[border:1px #990000 dotted,1pt]{y=2x3} \bbox[border:1px #990000 dotted,1pt]{2y+5x=2} \bbox[border:1px green dotted,1pt]{f(x)=2x1} \bbox[border:1px green dotted,1pt]{3s+2t=2} 
Regulations: There are 2 useful forms of a linear function: SlopeIntercept Form and Standard Form 
Standard Form: Ax+By=C , where A, B and C are numbers More
Regulations: The standard form of a line is NOT unique.
Example: 2xy=3 and 4x2y=6 are the same linear function  their graph is the same line!

SlopeIntercept Form: y=ax+b , where a and b are numbers More
Regulations: The slopeintercept form of a line is unique.
Example: The line 2xy=3 has the unique slopeintercept form: y=2x3

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Related Topics
 Lines?
 Slope of a Line
 Systems of Linear Equations 2x2
 Linear Equations
 Cartesian Coordinates  Points in the Plane
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