If you plot these graphs they may look the same, but are they?
Position the lines so that they are perpendicular to each other. What can you say about the equations of perpendicular lines?
Alf Coles writes about how he tries to create 'spaces for exploration' for the students in his classrooms.
I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?
Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?