Question 1142077
.


            I will show you how to find the equations for the hyperbola's asymptotes.



<pre>
The hyperbola is given by equation


    {{{y^2/16}}} - {{{x^2/25}}} = 1.     (1)


The equation for the asymptotes is


    {{{y^2/16}}} - {{{x^2/25}}} = 0.      (2)


It is obtained from the standard equation of the hyperbola (1) replacing "1" in the right side of the hyperbola' standard equation by "0".


The equation (2) deploys in two equations (3) and (4) below for the two straight asymptotes in this way


    {{{(y/4 + x/5)*(y/4 - x/5)}}} = 0  =================>


    {{{y/4 + x/5}}} = 0    (3),   and

    {{{y/4 - x/5}}} = 0.   (4)


You can further transform these equations for asymptotes (3), (4) to any other appropriate equivalent form.
</pre>

-------------


For similar problem, see my post at the link


&nbsp;&nbsp;&nbsp;&nbsp;https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.1142075.html


in the archive of this forum.