Explanation
Step 1
[tex]\begin{gathered} \text{large pizza(3 toppings)}\rightarrow7.5 \\ \text{large pizza( }8\text{ toppings)}\rightarrow10 \\ \text{then we have 2 points of the line} \\ (3,7.5) \\ (8,10) \end{gathered}[/tex]Step 2
find the slope
the slope is given by:
[tex]\begin{gathered} \text{slope}=\frac{y_2-y_1}{x_2-x_1} \\ \text{where} \\ P1(x_1,y_1) \\ P2(x_2,y_2) \end{gathered}[/tex]Let
P1(3,7.5)
P2(8,10)
replace
[tex]\begin{gathered} \text{slope}=\frac{y_2-y_1}{x_2-x_1} \\ \text{slope}=\frac{10-7.5}{8-3}=\frac{2.5}{5}=0.5 \\ \text{slope}=0.5 \end{gathered}[/tex]Step 3
usin P1 (3,7.5) ans m= 0.5 find the equation
[tex]\begin{gathered} y-y_1=m(x-x_0) \\ \text{replace} \\ y-7.5=0.5(x-3) \\ y-7.5=0.5x-1.5 \\ y=0.5x-1.5+7.5 \\ y=0.5x+6 \end{gathered}[/tex]I hope this helps you
