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 $C$ ?

Summary Submit Skip Question

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 $B$.

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