document.write( "Question 1118326: For an algebra project where i have to make a drawing out of different conics, I'm using a hyperbola. Currently, I know the center point, and the slope of the asymptotes, but I'm not really sure how to use the slope of asymptotes to find the rest of my equation. \n" ); document.write( "
Algebra.Com's Answer #733603 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "The center point and the slopes of the asymptotes is not enough information to determine the equation of the hyperbola.

\n" ); document.write( "Given the equation of a hyperbola in standard form,

\n" ); document.write( "\"%28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2+=+1\"

\n" ); document.write( "The slopes of the asymptotes are b/a and -b/a.

\n" ); document.write( "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.

\n" ); document.write( "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.
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