Answer:
[tex]y=\frac{-160}{x}, \ \ \ \ k=-160[/tex]
Step-by-step explanation:
let [tex]k[/tex] be a constant written as:
[tex]y=\frac{k}{x}[/tex]
It is given that y=4, x=-40
#We substitute x, y values in our function:
[tex]y=\frac{k}{x}\\\\4=\frac{k}{-40}\\\\k=4\times-40\\\\k=-160[/tex]
We substitute the constant value in the equation:
[tex]y=\frac{k}{x}, k=-160\\\\y=\frac{-160}{x}[/tex]
