On the grid provided, we can draw lines with different gradients. How many different gradients can you find? Can you arrange them in order of steepness?
Can you decide whether two lines are perpendicular or not? Can you do this without drawing them?
How does the position of the line affect the equation of the line? What can you say about the equations of parallel lines?
Position the lines so that they are perpendicular to each other. What can you say about the equations of perpendicular lines?
Collect as many diamonds as you can by drawing three straight lines.
Investigate what happens to the equations of different lines when you reflect them in one of the axes. Try to predict what will happen. Explain your findings.
Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.