Question 1148939
You are given the points:
( 200, 50 )
( 360, 74 )
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Use the general point-slope formula
{{{ ( f(x) - 50 ) / ( x - 200 ) = ( 74 - 50 ) / ( 360 - 200 ) }}}
{{{ ( f(x) - 50 ) / ( x - 200 ) = 24 / 160 }}}
{{{ ( f(x) - 50 ) / ( x - 200 ) = 3 / 20 }}}
{{{ f(x) - 50 = (3/20)*( x - 200 ) }}}
{{{ f(x) - 50 = (3/20)*x - 30 }}}
{{{ f(x) = (3/20)*x + 20 }}}
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check:
( 200, 50 )
{{{ f(x) = (3/20)*x + 20 }}}
{{{ 50 = (3/20)*200 + 20 }}}
{{{ 50 = 30 + 20 }}}
{{{ 50 = 50 }}}
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( 360, 74 )
{{{ f(x) = (3/20)*x + 20 }}}
{{{ 74 = (3/20)*360 + 20 }}}
{{{ 74 = 54 + 20 }}}
{{{ 74 = 74 }}}
OK