Question 1066355
The point P will be 1/6 of the way from X to Y
For the X coordinate:
{{{ 1/6 = ( X[p] -(-6) ) / ( 6 -(-6) ) }}}
{{{ 1/6 = ( X[p] + 6 ) / 12 }}}
{{{ 2 = X[p] + 6 }}}
{{{ X[p] = -4 }}}
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For the Y coordinate:
{{{ 1/6 = ( Y[p] -(-2) ) / ( 7 -(-2) ) }}}
{{{ 1/6 = ( Y[p] + 2 ) / 9 }}}
Multiply both sides by {{{ 18 }}}
{{{ 3 = 2*( Y[p] + 2 ) }}}
{{{ 3 = 2Y[p] + 4 }}}
{{{ 2Y[p] = -1 }}}
{{{ Y[p] = -1/2 }}}
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The point P is P( -4, -1/2 )
Check my math & get another
opinion if needed