Question 692758
If the points are all on the same straight line,
the slope between any pair of the points
is the same
(3,16) and (-2,-14)
slope = {{{ ( 16 -(-14) ) / ( 3 -(-2) ) }}}
slope = {{{ 30 / 5 }}}
slope = {{{ 6 }}}
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(3,16) and (h,28)
slope = {{{ 6 }}}
{{{ 6 = ( 28 - 16 ) / ( h - 3 ) }}}
{{{ 6 = 12 / ( h - 3 ) }}}
{{{ 6*( h - 3 ) = 12 }}}
{{{ 6h - 18 = 12 }}}
{{{ 6h = 30 }}}
{{{ h = 5 }}}
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check:
(-2,-14) and (h,28)
{{{ 6 = ( 28 -(-14) ) / ( h -(-2) ) }}}
{{{ 6 = 42 / ( h + 2 ) }}}
{{{ 6*( h + 2 ) = 42 }}}
{{{ 6h + 12 = 42 }}}
{{{ 6h = 30 }}}
{{{ h = 5 }}}
OK