Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.
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.
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?
Can you decide whether two lines are perpendicular or not? Can you do this without drawing them?
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?
Find the point on the line segment AB that is twice as far from B as it is from A.
How many lattice points are there in the first quadrant that lie on the line 3x + 4y = 59 ?
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?
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?
Which of these lines comes closer to the origin?
