# SOLUTION: Write the equation in standard form of the hyperbola with vertices (-3, 2) and (1, 2) and slope of asymptotes +-3/2.

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 Question 605629: Write the equation in standard form of the hyperbola with vertices (-3, 2) and (1, 2) and slope of asymptotes +-3/2.Answer by lwsshak3(6513)   (Show Source): You can put this solution on YOUR website!Write the equation in standard form of the hyperbola with vertices (-3, 2) and (1, 2) and slope of asymptotes +-3/2. ** 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. center:(-1,2) length of horizontal transverse axis=4 (-3 to 1)=2a a=2 a^2=4 .. given slope of asymptote=b/a=3/2 b=3a/2=3*2/2=3 b^2=9 .. Equation: (x+1)^2/4-(y-2)^2/9=1