Question 934920
{{{ y = 3x - 2 }}}
has the form
{{{ y = m*x + b }}} where {{{ m }}} is the slope
{{{ m = 3 }}}
Any line parallel to this one has the same slope
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Use the point-slope formula
{{{ ( y -( -3) ) / ( x - 1 ) = 3 }}}
{{{ ( y + 3 ) / ( x - 1 ) = 3 }}}
{{{ y + 3 = 3*( x - 1 ) }}}
{{{ y + 3 = 3x - 3 }}}
{{{ y = 3x - 6 }}}
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check:
Does it go through ( 1, -3 )?
{{{ -3 = 3*1 - 6 }}}
{{{ -3 = 3 - 6 }}}
{{{ -3 = -3 }}}