Question 581572
First find the slope of the equation by
putting it in the form {{{ y = mx + b }}}
where {{{m}}} = slope
{{{ 8x + 5y = 2 }}}
{{{ 5y = -8x + 2 }}}
{{{ y = -(8/5)*x + 2/5 }}}
The slope is {{{ -(8/5) }}}
Any line parallel to this line will also
have slope = {{{ -(8/5) }}}
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(8,-4)
Use the point-slope formula
{{{ ( y - (-4) ) / ( x - 8 ) = -(8/5) }}}
Multiply both sides by {{{ 5*( x-8 ) }}}
{{{ 5*( y + 4 ) = (-8)*( x - 8 ) }}}
{{{ 5y + 20 = -8x + 64 }}}
{{{ 8x + 5y = -20 + 64 }}}
{{{ 8x + 5y = 44 }}}
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Check:
what is the slope?
{{{ 8x + 5y = 44 }}}
{{{ 5y = -8x + 44 }}}
{{{ y = -(8/5)*x + 44/5 }}}
slope is {{{ -(8/5) }}}
does it go through (8,-4) ?
{{{ 8x + 5y = 44 }}}
{{{ 8*8 + 5*(-4) = 44 }}} 
{{{ 64 - 20 = 44 }}}
{{{ 44= 44 }}}
OK