You can put this solution on YOUR website! Graph and show the asymptotes: x^2/9-y^2/49=1
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x^2/9-y^2/49=1
This is an equation of a hyperbola with horizontal transverse axis of the standard form:
(x-h)^2-(y-k)^2=1, with (h,k) being the (x,y) coordinates of the center
For given equation:
center: (0,0)
a^2=9
a=√9=3
b^2=49
b=√49=7
slope of asymptotes=±b/a=±7/3
asymptotes are two straight lines with slopes 7/3 and -7/3, both going thru the center at (0,0)
Equation of asymptotes: y=7x/3 and y=-7x/3
See graph below:
y=±(49x^2/9-49)^.5
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