Question 1148037
You are given 2 points on a straight line
( 14, 18.2 )
( 31, 14.8 )
Use the general point-slope formula to get the equation
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{{{ ( h - 14.8 ) / ( t - 31 ) = ( 18.2 - 14.8 ) / ( 14 - 31 ) }}}
{{{ ( h - 14.8 ) / ( t - 31 ) = 3.4 / (-17) }}}
{{{ ( h - 14.8 ) / ( t - 31 ) = -.2 }}}
{{{ h - 14.8 = -.2*( t - 31 ) }}}
{{{ h - 14.8 = -.2t + 6.2 }}}
{{{ h = -.2t + 21 }}}
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Now find {{{ h }}} at the point ( 21, h )
{{{ h = -.2t + 21 }}}
{{{ h = -.2*21 + 21 }}}
{{{ h = -4.2 + 21 }}}
{{{ h = 16.8 }}} cm
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check the equation:
( 14, 18.2 )
{{{ h = -.2t + 21 }}}
{{{ 18.2 = -.2*14 + 21 }}}
{{{ 18.2 = -2.8 + 21 }}}
{{{ 18.2 = 18.2 }}}
You can check the other point