Question 935577
{{{ y - 2 = ( -1/4 )*( x+3 ) }}}
{{{ y - 2 = ( -1/4 )*x - 3/4 }}}
{{{ y = ( -1/4 )*x + 5/4 }}}
Also given the point:
( -3, 5 )
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Any line perpendicular to this line
will have a slope of:
{{{ -1/m }}} where {{{ m = -1/4 }}}
{{{ -1/m  = 4 }}}
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Use the general point-slope formula
{{{ ( y - 5 ) / ( x -(-3) ) = 4 }}}
{{{ ( y - 5 ) / ( x + 3 ) = 4 }}}
{{{ y - 5 = 4*( x + 3 ) }}}
{{{ y - 5 = 4x + 12 }}}
{{{ y = 4x + 17 }}} answer
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check:
does it go through ( -3,5 ) ?
{{{ 5 = 4*(-3) + 17 }}}
{{{ 5 = -12 + 17 }}}
{{{ 5 = 5 }}}
OK
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Here is a plot of the 2 lines:
{{{ graph( 400, 400, -10, 10, -10, 10, 4x + 17, ( -1/4 )*x + 5/4 ) }}}