Answer:
The equation of line will be [tex]y=x+2.75[/tex]
Step-by-step explanation:
Given admission and [tex]6[/tex] sample costs $[tex]8.75[/tex]
And admission and [tex]9[/tex] samples costs $[tex]11.75[/tex]
Let cost of the sample is [tex]y[/tex] and number of sample is [tex]x[/tex]
Now, we will find the slope of line
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{11.75-8.75}{9-6}\\\\m=\frac{3}{3}\\\\m=1[/tex]
Plug slope as [tex]1[/tex] and point [tex](6,8.75)[/tex] in the equation we get,
[tex](y-y_1)=m(x-x_1)\\y-8.75=1(x-6)\\y-8.75=x-6\\y=x-6+8.75\\y=x+2.75[/tex]
The equation of line will be [tex]y=x+2.75[/tex]
