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)![]() ![]() You can put this solution on YOUR website! \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( " \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. \n" ); document.write( " |