Answer:
[tex]y = 8x + 10[/tex]
Step-by-step explanation:
Given
Represent pizzas with x and amount with y
So:
[tex](x_1,y_1) = (6,58)[/tex]
[tex](x_2,y_2) = (9,82)[/tex]
Required
Determine the point slope equation
First, we need to determine the slope, m
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{82 - 58}{9 - 6}[/tex]
[tex]m = \frac{24}{3}[/tex]
[tex]m = 8[/tex]
Next, we determine the equation using:
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - 58 = 8(x - 6)[/tex]
[tex]y - 58 = 8x - 48[/tex]
[tex]y = 8x - 48 + 58[/tex]
[tex]y = 8x + 10[/tex]
