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

Find the area of the triangle enclosed by these lines.

Can you find the area between this graph and the x-axis, between x=3 and x=7?

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

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

The illustration shows the graphs of fifteen functions. Two of them have equations y=x^2 and y=-(x-4)^2. Find the equations of all the other graphs.

Can you work out the equations of the trig graphs I used to make my pattern?

Which of these lines comes closer to the origin?

Solve these 2 equations in your head!

Find four different solutions to a simple equation.

If x2 + y2 = 36, xy = 32, what is the positive value of x + y?