In the standard \((x,y)\) coordinate plane below, point \(A\) has coordinates \((2,-4)\), and the point \(B(8,-1)\) divides \(\overline{AC}\) so that the ratio \(AB:BC\) is \(1:3\). What are the coordinates of point \(C\) ?

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Point \(B\) is \(3\) units up, 6 units to the right of point \(A\).

Using the \(1:3\) ratio, point \(C\) will be \(3(3)=9\) units up, \(3(6)=18\) units to the right of point \(B\).

$$ C(8+18, -1+9) $$ $$ =C(26,8) $$