Question

PLEASE HELP I NEED THIS TO GET MY GRADE UP

Answer 1

`y = 4.5x`

Explanation:

Given

The attached table

Required

The table equation

The table shows a linear relationship.

So, we calculate the slope (m) first

Using:

`m = (y_2 - y_1)/(x_2 - x_1)`

Where:

`(x_1,y_1) =(2,9)`

`(x_2,y_2) =(6,27)`

So, we have:

`m = (27 - 9)/(6 - 2)`

`m = (18)/(4)`

`m = 4.5`

Next, the equation is calculated using:

`y = m(x - x_1) + y_1`

So, we have:

`y = 4.5(x - 2) + 9`

Open bracket

`y = 4.5x - 9 + 9`

`y = 4.5x`