The definition of an inverse of a function is "the set of ordered pairs obtained by interchanging the first and second elements of each pair in the original function."
This means too find the inverse of a function using ordered pairs, switch the x- and y-coordinates.
This means that (-3, 9) goes to (9, -3); (-1, 1) goes to (1, -1); (0, 0) goes to (0, 0); and (2, 4) goes to (4, 2).
The equation, y=3x-5 is in y=mx+b format. The b, or -5 in this case, tells you what the y intercept is, or in this case, your starting point. This means your first point will be at (0,-5). The mx, or 3x in this case, tell us how much to move up and how much to move sideways. 3x is equal to 3/1x and the 3/1 tells us the rise/run. Rise being how much to go up or down and run being how much to go to the left or right. So in 3x, the rise is 3 and the run is 1. So you will go 3 up on the y axis and 1 to the right on the x-axis. So your next point will be (1, -2) and the point after that will be (2, 1) and so on!
