# SOLUTION: find the equation for a hyperbola with the vertices (2,0) and (-2,0) with the asymptotes y=7/2x

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 Question 609926: find the equation for a hyperbola with the vertices (2,0) and (-2,0) with the asymptotes y=7/2xAnswer by lwsshak3(6456)   (Show Source): You can put this solution on YOUR website!find the equation for a hyperbola with the vertices (2,0) and (-2,0) with the asymptotes y=7/2x ** This is a hyperbola with horizontal transverse axis: Its standard form of equation: (x-h)^2/a^2-(y-k)^2/b^2=1, (h,k)=(x,y) coordinates of center For given hyperbola: center: (0,0) length of horizontal transverse axis=4 (from -2 to 2)=2a a=2 a^2=4 given slope of asymptotes for hyperbolas with horizontal transverse axis=b/a=7/2 b=7a/2=7*2/2=14/2=7 b^2=49 equation of given hyperbola: x^2/4-y^2/49=1