Question 1065254
Find the slope of the given line
{{{ x + 8y = 9 }}}
{{{ 8y = -x + 9 }}}
{{{ y = (-1/8)*x + 9/8 }}}
Any line parallel to this line will have
slope = {{{ -1/8 }}}
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( 7,9 }
{{{ m = -1/8 }}}
{{{ y = m*x + b }}}
{{{ 9 = m*7 + b }}}
{{{ 9 = (-1/8)*7 + b }}}
{{{ 72 = -7 + 8b }}}
{{{ 8b = 79 }}}
{{{ b = 79/8 }}}
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The equation is:
{{{ y = (-1/8)*x + 79/8 }}}
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check:
does the line go through ( 7,9 )?
{{{ 9 = (-1/8)*7 + 79/8 }}}
{{{ 72 = -7 + 79 }}}
{{{ 72 = 72 }}}
OK