Question

Tables of valuesx:-1, 0, 1, 2 y: 21, 28, 35, 42 what linear function models the table of values

Answer 1

y=7x+28

Step-by-step explanation:

A linear form can be said to be in the form:

`\begin{gathered} y=mx+b \\ m=\text{slope} \\ b=y-\text{intercept} \end{gathered}`

When x = 0, the value of y=28.

Therefore, b=28.

Next, we determine the slope using points (0,28) and (1,35).

`\begin{gathered} \text{Slope}=\frac{Change\text{ in y-axis}}{Change\text{ in x-axis}} \\ =(35-28)/(1-0) \\ m=(7)/(1) \\ m=7 \end{gathered}`

Therefore, the linear function that represents the table of values is:

`y=7x+28`