Does this table represent a function? why why not? 2 1 2 4 3 4 4 2

No its not if this is a (X,Y). You cannot have 2 of the same x's and different Y's. You can have the same Y's with 2 different X's. Ask questions if you still need help :)

Explanation:

Start at the point (0,0) which is the origin. Move up 2 units then to the right 3 units to arrive at the next blue point (3,2). We see that

rise = 2

run = 3

slope = rise/run = 2/3

If you want to use the slope formula, then you would say

m = (y2 - y1)/(x2 - x1)

m = (2 - 0)/(3 - 0)

m = 2/3

I used the two points (0,0) and (3,2). You could use any two points you like on this line.

Side note: The slope is positive because we are moving uphill as you move from left to right along this orange line.