A line intersects the $yz$-plane at $(0,-2,-5),$ and the $xz$-plane at $(3,0,-1).$  Find the point where the line intersects the $xy$-plane.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
A line intersects the $yz$-plane at $(0,-2,-5),$ and the $xz$-plane at $(3,0,-1).$  Find the point where the line intersects the $xy$-plane.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\left( \frac{15}{4}, \frac{1}{2}, 0 \right)
A line intersects the $yz$-plane at $(0,-2,-5),$ and the $xz$-plane at $(3,0,-1).$  Find the point where the line intersects the $xy$-plane.
train