Question 657399
the {{{slope-intercept}}} form: {{{y=mx+b}}}


{{{y=5x-1}}}..first we know that this line has a slope {{{m=5}}} and {{{y-intercept}}} at {{{b=-1}}} 

since parallel lines have {{{same}}} {{{slope}}}, we know that a line parallel to 
our given line is also {{{m=5}}}

so, we have {{{y=5x}}}..we can use this line (means we chose {{{b=0}}})  or choose any value for {{{b}}} and use that line (like if {{{b=7}}}, then {{{y=5x+7}}}); either way will be parallel to our given line

let's see all three of these lines on a graph:

{{{y=5x-1}}}
{{{y=5x}}}
{{{y=5x+7)}}}

{{{ graph( 600, 600, -5, 5, -10, 10, 5x-1, 5x,5x+7) }}}