If y varies inversely as x, and y=1 as x=2 find y for the x - value of - 1

Inverse variation is of the form y=k/x (direct variation is of the form y=kx)

We are given that x=2 when y=1 so using the inverse form y=k/x we can solve for the constant of variation ...

1=k/2

k=2

so the equation is:

y=2/x now they want us to find y when x=-1 so

y=2/-1

y=-2