There are **11** NRICH Mathematical resources connected to **Cartesian equations of lines**, you may find related items under Coordinates and Coordinate Geometry.

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.

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 find sets of sloping lines that enclose a square?

Can you make sense of the three methods to work out the area of the kite in the square?

In abstract and computer generated art, a real object can be represented by a simplified set of lines. Can you create a picture using mathematical instructions?

This task requires learners to explain and help others, asking and answering questions.

Drawing a triangle is not always as easy as you might think!

Follow hints to investigate the matrix which gives a reflection of the plane in the line y=tanx. Show that the combination of two reflections in intersecting lines is a rotation.