Question 544847
You need to get the equation into the form
{{{ y = m*x + b }}}
{{{m}}} is the slope of the line
{{{b}}} is the y-intercept
( y-value where line crosses y-axis )
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{{{ 4x - 3 = x - y }}}
You can think of {{{ -y }}} as {{{ (-1)*y }}}, 
but you want just {{{y}}}, so add {{{y}}}
to both sides
{{{ 4x - 3 + y = x }}}
Now subtract {{{ 4x }}} from both sides
{{{ -3 + y = x - 4x }}}
Now add {{{3}}} to both sides
{{{ y = -3x + 3 }}}
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Now it is in the correct form. the slope is {{{ -3 }}}
The y-intercept is {{{3}}}, so that gives you the point 
(0,3)
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To find the x-intercept, set {{{y=0}}}
{{{ 0 = -3x + 3 }}}
Subtract {{{3}}} from both sides
{{{ -3 = -3x }}}
Divide both sides by {{{-3}}}
{{{ 1 = x }}}
Now you have the point (1,0)
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2 points determine a line, so that's
all you need
Here's a plot:
{{{ graph( 400, 400, -6, 6, -6, 6, -3x + 3) }}}