Question 1097498
{{{ 5/2) }}} = the slope of given line
{{{ -1/m = -1/(5/2) }}}
{{{ -1/m = -2/5 }}}
This is the slope of the line through ( 5,-1 )
Use the general point-slope formula
{{{ ( y - (-1) ) / ( x- 5 ) = -2/5 }}}
Multiply both sides by {{{ 5*( x-5 ) }}}
{{{ 5*( y + 1 ) = -2*( x - 5 ) }}}
{{{ 5y + 5 = -2x + 10 }}}
{{{ 2x + 5y = 5 }}}
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check:
does it go through ( 5,-1 )?
{{{ 2*5 + 5*(-1) = 5 }}}
{{{ 10 - 5 = 5 }}}
{{{ 5 = 5 }}}
OK