Linear functions and graphs

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?

Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.

Four vehicles travel along a road one afternoon. Can you make sense of the graphs showing their motion?

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.

Can you decide whether two lines are perpendicular or not? Can you do this without drawing them?

If you plot these graphs they may look the same, but are they?

How many intersections do you expect from four straight lines ? Which three lines enclose a triangle with negative co-ordinates for every point ?

What is the area of the triangle formed by these three lines?

Position the lines so that they are perpendicular to each other. What can you say about the equations of perpendicular lines?

How does the position of the line affect the equation of the line? What can you say about the equations of parallel lines?