Question

Please help me figure out

Answer 1

Answer:

The equation of line will be $y=x+2.75$

Step-by-step explanation:

Given admission and $6$ sample costs $$8.75$

And admission and $9$ samples costs $$11.75$

Let cost of the sample is $y$ and number of sample is $x$

Now, we will find the slope of line

$m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{11.75-8.75}{9-6}\\\\m=\frac{3}{3}\\\\m=1$

Plug slope as $1$ and point $(6,8.75)$ in the equation we get,

$(y-y_1)=m(x-x_1)\\y-8.75=1(x-6)\\y-8.75=x-6\\y=x-6+8.75\\y=x+2.75$

The equation of line will be $y=x+2.75$