2024 AMC 12A Question 25

A graph is *symmetric* about a line if the graph remains unchanged after reflection in that line. For how many quadruples of integers $(a,b,c,d),$ where $|a|,$ $|b|,$ $|c|,$ $|d|\le5$ and $c$ and $d$ are not both $0,$ is the graph of $$
y=\frac{ax+b}{cx+d}
$$ symmetric about the line $y=x?$