Question

Use the provided equation below to complete the table and graph

Answer 1

Step-by-step explanation:

To complete the table, we need to replace each value of x and calculate the value of y.

So, if x = - 16, y is equal to:

`\begin{gathered} y=(3)/(8)x-2 \\ y=(3)/(8)(-16)-2 \\ y=-6-2 \\ y=-8 \end{gathered}`

If x = -8, y is equal to:

`\begin{gathered} y=(3)/(8)(-8)-2 \\ y=-3-2 \\ y=-5 \end{gathered}`

If x = 0, y is equal to:

`\begin{gathered} y=(3)/(8)(0)-2 \\ y=0-2 \\ y=-2 \end{gathered}`

If x = 8, y is equal to:

`\begin{gathered} y=(3)/(8)(8)-2 \\ y=3-2 \\ y=1 \end{gathered}`

If x = 16, y is equal to:

`\begin{gathered} y=(3)/(8)(16)-2 \\ y=6-2 \\ y=4 \end{gathered}`

So, the complete table is:

x y

-16 -8

-8 -5

0 -2

8 1

16 4

Finally, we can graph the table, so: