Question 760366
Let {{{ y }}} = number of grams of
acid produced in {{{ x }}} min
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Plot time on the horizontal axis
Plot grams of acid on the vertical axis
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You are given the 2 ( x,y ) points
( 27, 12 ) and
( 50, 20 )
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Use the general point-slope formula
{{{ ( y - 12 ) / ( x - 27 ) = ( 20 - 12 ) / ( 50 - 27 ) }}}
{{{ ( y - 12 ) / ( x - 27 ) = 8 / 23 }}}
Multiply both sides by {{{ 23*( x - 27 ) }}}
{{{ 23*( y - 12 ) = 8*( x - 27 ) }}}
{{{ 23y - 276 = 8x - 216 }}}
{{{ 23y = 8x + 60 }}}
{{{ y = ( 8/23)*x + 60/23 }}}
check:
Does it go through
( 27, 12 ) and
( 50, 20 ) ?
{{{ 12 = ( 8/23)*27 + 60/23 }}}
{{{ 12 = 216/23 + 60/23 }}}
{{{ 12 = 276 / 23 }}}
{{{ 12 = 12 }}}
OK
You can check other point