If the graph is symmetric with respect to what is the value of
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Given y=(ax+7)/(x-4)..........................(1)
Since at x=0,we get y=-7/4 i.e.(0,-7/4) is a point on graph and also it is given that graph is symmetric along y=x therefore (-7/4,0) will also lie on graph.
So put y=0 in (1), we get ax+7=0 or x=-7/a
now compare this coordinate(-7/a,0) to (-7/4,0)
gives a=4.