Find such a coefficient for a for the linear equation ax-y=4, so that the graph of the equation would pass through the point M(3
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Polynomial division yields
As
, you have the remainder term approaching 
, so the horizontal asymptote is the line 
.
As
Given equation of the line ,
Simplify ,
Transpose terms to RHS ,
Divide both sides by 5 ,
Now we know the slope intercept form of the line as we have ,
As we know that the slope of all parallel lines are same . Henceforth ,