Question 1027408
The line segments from x[A] to x[B]
and y[A] to y[B] are also divided in the ratio
4:1
---------------------
{{{ x[B] - x[A] = 11 - (-9) }}}
{{{ x[B] - x[A] = 20 }}}
{{{ 4/1 = x / ( 20-x ) }}}
{{{ 4*( 20 - x ) = x }}}
{{{ 80 - 4x = x }}}
{{{ 5x = 80 }}}
{{{ x = 16 }}}
---------------
{{{ x[P] = x[A] + 16 }}}
{{{ x[P] = -9 + 16 }}}
{{{ x[P] = 7 }}}
------------------
{{{ y[B] - y[A] = -2 - 5 }}}
{{{ y[B] - y[A] = -7 }}}
{{{ 4/1 = y / ( -7 - y ) }}}
{{{ 4*( -7 - y ) = y }}}
{{{ -28 - 4y = y }}}
{{{ 5y = -28 }}}
{{{ y = -5.6 }}}
-------------
{{{ y[P] = y[A] +( -5.6 ) }}}
{{{ y[P] = 5 - 5.6 }}}
{{{ y[p] = -.6 }}}
---------------------
I get P( 7, -.6 ) for the required point
Definitely get another opinion on this.
I could easily get the math wrong