Question

Fill in the table using this function rule. y = -5x-1 Х G ? - 1 0

Answer 1

`\begin{gathered} \text{ x }\mleft|\text{ }\mright|\text{y} \\ -1\text{ }\mleft|\text{ }\mright|\text{4} \\ 0\text{ }\mleft|\text{ }\mright|\text{-1} \\ 1\text{ }\mleft|\text{ }\mright|\text{-6} \\ 2\text{ }\mleft|\text{ }\mright|\text{-11} \end{gathered}`

Step-by-step explanation:

Given the function;

`y=-5x-1`

We want to find the values of y for each of the values of x;

we can do that by substituting the values of x into the function;

At x = -1;

`\begin{gathered} y=-5x-1 \\ y=-5(-1)-1 \\ y=5-1 \\ y=4 \end{gathered}`

At x = 0;

`\begin{gathered} y=-5x-1 \\ y=-5(0)-1 \\ y=0-1 \\ y=-1 \end{gathered}`

At x = 1;

`\begin{gathered} y=-5x-1 \\ y=-5(1)-1 \\ y=-5-1 \\ y=-6 \end{gathered}`

At x = 2;

`\begin{gathered} y=-5x-1 \\ y=-5(2)-1 \\ y=-10-1 \\ y=-11 \end{gathered}`

So, we have;

`\begin{gathered} \text{ x }\mleft|\text{ }\mright|\text{y} \\ -1\text{ }\mleft|\text{ }\mright|\text{4} \\ 0\text{ }\mleft|\text{ }\mright|\text{-1} \\ 1\text{ }\mleft|\text{ }\mright|\text{-6} \\ 2\text{ }\mleft|\text{ }\mright|\text{-11} \end{gathered}`