Question 1146656
(-4,1)
parallel to {{{ y = 2x - 5 }}}
The slope of the line is {{{ m=2 }}}
{{{ ( y - 1 ) / ( x - ( -4) ) = 2 }}}
{{{ ( y - 1 ) / ( x + 4 ) = 2 }}}
{{{ y - 1 = 2*( x + 4 ) }}}
{{{ y - 1 = 2x + 8 }}}
{{{ y = 2x + 9 }}}
-----------------------
check:
(-4,1)
{{{ 1 = 2*(-4) + 9 }}}
{{{ 1 = -8 + 9 }}}
OK
-----------------------
(-4,1)
perpendicular to {{{ y = 2x - 5 }}}
The slope of the line is {{{ -1/2 }}}
{{{ ( y - 1 ) / ( x - ( -4) ) = -1/2 }}}
{{{ ( y - 1 ) / ( x + 4 ) = -1/2 }}}
{{{ y - 1 = (-1/2)*( x + 4 ) }}}
{{{ 2y - 2 = -x - 4 }}}
{{{ 2y = -x - 2 }}}
{{{ y = (-1/2)*x - 1 }}}
-------------------------
check:
(-4,1)
{{{ 1 = (-1/2)*(-4) - 1 }}}
{{{ 1 = 2 - 1 }}}
OK