SOLUTION: Find the equation of the hyperbola with vertices at (-1, -1) and (3, -1) and an equation of asymptote (𝑥−1)/2=(𝑦+1)/3

Question 1194765: Find the equation of the hyperbola with vertices at (-1, -1) and (3, -1) and an equation of asymptote (𝑥−1)/2=(𝑦+1)/3
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

the equation of the hyperbola :
where (,) is the center, and are the lengths of the semi-major and the semi-minor axes
given:
vertices at (, ) and (,)
The distance between the vertices is . Since , distance between and is units
=> so, =>
since center is midpoint between vertices, C(,)=(,)
=> and

equation of asymptote =>=>
since =>=>

the equation of the hyperbola :

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