Not only does this cut-out-and-move-around set of tiles give students another opportunity to experience drawing straight lines from gradient intercept method but it also allows them to start off at any of these three places and work towards the others eg starting with m and c they can write the equation and draw the graph, or starting with the equation they can rearrange it to find m and c and then find the graph of the straight line.
This kind of activity helps students to confirm their understanding of these concepts. It is also useful as both a starter exercise, a plenary exercise and a discussion exercise (ask for explanations).
This activity can be photocopied onto board or laminated or copied onto A3 paper so that it can be used with a group of students. There are 30 tiles in this task - within a group, individual students can contribute a tile and justify why they have chosen it as a match up to another tile.
The formulae in this task are in a mixture of implicit and "y =...". There is another activity with identical graphs to this one where all the formulae are all in "y = ..." form: