Answer:
[tex]y = 3x+7[/tex]
Step-by-step explanation:
Given
See attachment for Mario's pizza table
Required
Determine the equation in slope intercept form
First, we calculate the slope of the table using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
From the table, we have:
[tex](x_1,y_1) = (3,16)[/tex]
[tex](x_2,y_2) = (5,22)[/tex]
So, the slope is:
[tex]m = \frac{22 - 16}{5 - 3}[/tex]
[tex]m = \frac{6}{2}[/tex]
[tex]m =3[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
Where:
[tex](x_1,y_1) = (3,16)[/tex]
[tex]m =3[/tex]
So:
[tex]y = 3(x - 3) + 16[/tex]
Open bracket
[tex]y = 3x - 9 + 16[/tex]
[tex]y = 3x+7[/tex]
