Write the equation of the line that passes through the points (3, 6) and (5, 18) using function notation. a f(x) = 2x + 12 b f(x) = 6x − 12 c y = 2x + 12 d y = 6x − 12

First, we must find the slope using the equation

We can substitute in our points and will get

This means that our slope is m=6.

We can now use the point slope form to find the equation of the line. The equation for this is

Now we can substitute in one of our point, (3,6) in this case.

this simplifies to

now we can swap y for f(x) to put it in function notation

this means that the answer is ; which means that the answer is b