The equation y = -1/x represent a inverse variation
Solution:
Given, equation is [tex]y = \frac{-1}{x}[/tex]
We have to find the relation between x and y
Now, for finding the relation we have to take two sets of values of x and y and substitute them in given equation.
[tex]\begin{array}{l}{\text { Now, take } y=1 \rightarrow 1=-\frac{1}{x} \rightarrow x=-1} \\\\ {\text { Now, take } y=-1 \rightarrow-1=-\frac{1}{x} \rightarrow x=1}\end{array}[/tex]
If we observe, when y value is decreased from 1 to – 1, the value of x is increased from -1 to 1
Hence, the x and y varies inversely
