Question

Please help me, I do not understand this question. It would really make my day, thank you.

Answer 1

Consider the given options.

A)

`y=-(x)/(4)-4`

Set x =4 in the given equation, we get

`y=-(4)/(4)-4=-1-4=-5`

we get y=-5 but from the table y=-20 when x=4.

Option A is not correct.

B)

`y=-(x)/(4)+4`

Set x =4 in the given equation, we get

`y=-(4)/(4)+4=-1+4=3`

we get y=3 but from the table y=-20 when x=4.

Option B is not correct.

C)

`y=-4x-4`

Set x=0 in the equation, we get

`y=-4(0)-4=-4`

We get y=-4.

This equation is true for x=0.

Set x=4, we get

`y=-4(4)-4=-16-4=-20`

We get y=-20.

This equation is true for x=4.

Set x=-4, we get

`y=-4(-4)-4=16-4=12`

We get y=12.

This equation is true for x=-4.

Set x=8, we get

`y=-4(8)-4=-32-4=-36`

We get y=-36.

This equation is true for x=8.

Option C is correct.

D)

`y=-4x+4`

Set x=0, we get

`y=-4(0)+4=4`

We get y=4 but from the table y=-4.

Option D is not correct.

Result: Option C is correct.