Question 1004800
First find the x-coordinate of the point 1/3
of the way from A to B
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Take the difference:
{{{ x[B] - x[A] = 6 -(-3) }}}
{{{ x[B] - x[A] = 9 }}}
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Take 1/3 of this:
{{{ 9/3 = 3 }}}
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Add this to {{{ x[A] }}}
{{{ -3 + 3 = 0 }}}
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Find the y-coordinate of the point 1/3
of the way from A to B
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Take the difference:
{{{ y[B] - y[A] = 11 -(-4) }}}
{{{ y[B] - y[A] = 15 }}}
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Take 1/3 of this:
{{{ 15/3 = 5 }}}
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Add this to {{{ y[A] }}}
{{{ -4 + 5 = 1 }}}
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The point 1/3
of the way from A to B is: ( 0,1 )
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Now you can use the fact that the 2/3 point
is midway between this point and B
x-coordinate:
{{{ ( 6+0 ) / 2 = 3 }}}
and
y-coordinate:
{{{ ( 11 + 1 ) / 2 = 6 }}}
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The points are:
( 0,1 ) and ( 3,6 )
You can draw this to check