Question 1124016

 Well, if you're trying to find the points that divide {{{AB }}}into {{{thirds}}}, you would use:

({{{(x[1]+x[2])/3}}},{{{ (y[1]+y[2])/3}}})

and

({{{2(x1+x2)/3}}}, {{{2(y1+y2)/3}}})


Using this, you'll get:

({{{(x[1]+x[2])/3}}}, {{{(y[1]+y[2])/3}}})....plug in coordinates of the given points {{{A}}}(({{{0}}},{{{0}}})) and point {{{B}}} ( ({{{9}}},{{{6}}}))

({{{(0+9)/3}}}, {{{(0+6)/3}}})

({{{9/3}}}, {{{6/3}}})

({{{highlight(3)}}}, {{{highlight(2)}}})

and

({{{2(x[1]+x[2])/3}}}, {{{2(y[1]+y[2])/3}}})
({{{2(0+9)/3}}}, {{{2(0+6)/3}}})
({{{18/3}}}, {{{12/3}}})
 ({{{highlight(6)}}},{{{highlight(4)}}})