Question 921315
Parallel means it has the same slope
{{{ y + 2 = 4*( x-1 ) }}}
{{{ y = 4x - 4 - 2 }}}
{{{ y = 4x - 6 }}}
slope = {{{ 4 }}}
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(1,-3)
Use the general point-slope equation:
{{{ ( y - (-3) ) / ( x - 1 ) = 4 }}}
{{{ ( y + 3 ) / ( x - 1 ) = 4 }}}
{{{ y + 3 = 4*( x - 1 ) }}}
{{{ y = 4x - 4 - 3 }}}
{{{ y = 4x - 7 }}}
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Does it go through ( 1,-3 )?
{{{ -3 = 4*1 - 7 }}}
{{{ -3 = -3 }}}
OK
Is it parallel to
{{{ y = 4x - 6 }}}?
Same slope -yes