Answer:
[tex]y = 4.5x[/tex]
Step-by-step explanation:
Given
The attached table
Required
The table equation
The table shows a linear relationship.
So, we calculate the slope (m) first
Using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where:
[tex](x_1,y_1) =(2,9)[/tex]
[tex](x_2,y_2) =(6,27)[/tex]
So, we have:
[tex]m = \frac{27 - 9}{6 - 2}[/tex]
[tex]m = \frac{18}{4}[/tex]
[tex]m = 4.5[/tex]
Next, the equation is calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
So, we have:
[tex]y = 4.5(x - 2) + 9[/tex]
Open bracket
[tex]y = 4.5x - 9 + 9[/tex]
[tex]y = 4.5x[/tex]
