Question 1058788
{{{ x - 3y = 6 }}}
Subtract {{{ x }}} from both sides
{{{ -3y = -x + 6 }}}
Divide both sides by {{{ -3 }}}
{{{ y = (1/3)*x - 2 }}}
This is in the form
{{{ y = mx + b }}}
{{{ m }}} = slope
{{{ b }}} = y-intercept
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The slope is 1/3
The y-intercept is ( 0, -2 )
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To find x-intercept, make {{{ y = 0 }}}
{{{ 0 = (1/3)*x - 2 }}}
{{{ (1/3)*x = 2 }}}
{{{ x = 6 }}}
The x-intercept is ( 6, 0 )
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Here's the plot:

{{{ graph( 400, 400, -10, 10, -10, 10, (1/3)*x - 2 ) }}}