Question 1118326
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The center point and the slopes of the asymptotes is not enough information to determine the equation of the hyperbola.<br>
Given the equation of a hyperbola in standard form,<br>
{{{(x-h)^2/a^2-(y-k)^2/b^2 = 1}}}<br>
The slopes of the asymptotes are b/a and -b/a.<br>
So knowing the slopes of the asymptotes only tells you the ratio of a and b; to know the equation you have to know the specific values of a and b.<br>
Furthermore, note that the slopes of the asymptotes don't tell you whether the branches of the hyperbola open right and left or up and down.