SOLUTION: determine the center and asymptotes of this hyperbola equation y=x+1/2x-4

Question 729476: determine the center and asymptotes of this hyperbola equation y=x+1/2x-4

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

Asymptotes of a hyperbola are the lines that pass through center of the hyperbola and touch the hyperbola.
....since denominator cannot be zero we will find that value of that makes it equal to zero
...=>......=>......this is coordinate of the center and asymptote
now find value for center
....=>..
so, coordinate is

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