### There are 11 results

Broad Topics >

Coordinates and Coordinate Geometry > Cartesian equations of lines

##### Age 14 to 16 Challenge Level:

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?

##### Age 11 to 14 Challenge Level:

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

##### Age 11 to 14 Challenge Level:

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.

##### Age 14 to 16 Challenge Level:

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

##### Age 11 to 14 Challenge Level:

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

##### Age 11 to 14 Challenge Level:

Can you find sets of sloping lines that enclose a square?

##### Age 14 to 16 Challenge Level:

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

##### Age 11 to 16 Challenge Level:

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?

##### Age 11 to 16 Challenge Level:

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

##### Age 14 to 16 Challenge Level:

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

##### Age 16 to 18 Challenge Level:

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.