The matrix
\[\begin{pmatrix} -\frac{7}{25} & \frac{24}{25} \\ \frac{24}{25} & \frac{7}{25} \end{pmatrix}\]corresponds to reflecting over a certain vector $\begin{pmatrix} x \\ y \end{pmatrix}.$  Find $\frac{y}{x}.$
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
The matrix
\[\begin{pmatrix} -\frac{7}{25} & \frac{24}{25} \\ \frac{24}{25} & \frac{7}{25} \end{pmatrix}\]corresponds to reflecting over a certain vector $\begin{pmatrix} x \\ y \end{pmatrix}.$  Find $\frac{y}{x}.$
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\frac{4}{3}
The matrix
\[\begin{pmatrix} -\frac{7}{25} & \frac{24}{25} \\ \frac{24}{25} & \frac{7}{25} \end{pmatrix}\]corresponds to reflecting over a certain vector $\begin{pmatrix} x \\ y \end{pmatrix}.$  Find $\frac{y}{x}.$
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