Respuesta :

Answer:

[tex]y=-30[/tex]

Step-by-step explanation:

we are given

y varies directly as x

so, we can write equation as

[tex]y=kx[/tex]

where

k is constant of proportionality

We have

at x=-1 , y=6

so, we can use it to find k

[tex]6=k(-1)[/tex]

so, we get

[tex]k=-6[/tex]

now, we can plug it back

[tex]y=-6x[/tex]

now, we can plug x=5

and we get

[tex]y=-6\times 5[/tex]

[tex]y=-30[/tex]