Question 675893

Linear Equations

Quick Definition: An equation that forms a straight line on a graph.

More precisely, a linear equation is one that is dependent only on constants and a variable raised to the first power. 

For example, {{{y=6x+2}}} is linear because it has {{{no}}}{{{ squares}}}, {{{cubes}}}, {{{square}}}{{{ roots}}}, {{{sines}}}, etc. Linear equations can always be manipulated to take this form:

 {{{y=ax+b}}}



{{{xy+3y=8}}}...solve for {{{y}}}



{{{y(x+3)=8}}}

{{{y=8/(x+3)}}}.......so, it's NOT a linear equation

it is {{{hyperbola}}}

{{{ graph( 600, 600, -10, 10, -10, 10, 8/(x+3)) }}}