You are given the summer reading list for your english class. there are 8 books on the list. you decide you will read all. in how many different orders can you read the books?

Consider for a moment building a tree with all possible choices. The first row would contain 8 books (each possible choice for the first book). Then, the second row would contain 7 books for each book in the first row (the choices possible for the second book). Otherwise, it would be 8*7. Following this principal, we continue to multiply down to 1. 8*7*6*5*4*3*2*1. This is also known as 8!, a factorial.
Finally, 8! = 40,320

The slope of this line is 1 and the y-intercept is -2.

In order to find this, you need to put it in slope intercept form. This is done below for you.

3x - 3y = 6 > Subtract 3x from both sides

-3y = -3x + 6 > Divide by -3

y = x - 2

Now that you have this, you can find the slope by looking for the coefficient of x. In this case it is 1. You can find the intercept as the constant at the end, which is -2.