3. Coordinate geometry
- Syllabus
- 0580–2028–2029
- Section
- 3
- Level
- Extended
Exam analysis
No tagged past-paper evidence yet
Published Concept pages under this syllabus area do not have tagged past-paper appearances in the selected level yet.
Recent 5 years
In this section
Topic E3.1
E3.1 Coordinates
Objectives in this topic
E3.1.1 Use and interpret Cartesian coordinates in two dimensions.
- Use and interpret Cartesian coordinates in two dimensions.
Topic E3.2
E3.2 Drawing linear graphs
Objectives in this topic
E3.2.1 Draw straight-line graphs for linear equations
- Draw straight-line graphs for linear equations. Examples include: • y = –2x + 5 • y = 7 – 4x • 3x + 2y = 5.
Topic E3.3
E3.3 Gradient of linear graphs
Objectives in this topic
E3.3.1 Find the gradient of a straight line.
- Find the gradient of a straight line.
E3.3.2 Calculate the gradient of a straight line from the coordinates of two
- Calculate the gradient of a straight line from the coordinates of two points on it.
Topic E3.4
E3.4 Length and midpoint
Objectives in this topic
E3.4.1 Calculate the length of a line segment.
- Calculate the length of a line segment.
E3.4.2 Find the coordinates of the midpoint of a line segment.
- Find the coordinates of the midpoint of a line segment.
Topic E3.5
E3.5 Equations of linear graphs
Objectives in this topic
E3.5.1 Interpret and obtain the equation of a straight-line graph
- Interpret and obtain the equation of a straight-line graph. Questions may: • use and request lines in different forms, e.g. ax + by = c y = mx + c x = k • involve finding the equation when the graph is given • ask for the gradient or y-intercept of a graph from an equation, e.g. find the gradient and y-intercept of the graph with equation 5x + 4y = 8. Candidates are expected to give equations of a line in a fully simplified form.
Topic E3.6
E3.6 Parallel lines
Objectives in this topic
E3.6.1 Find the gradient and equation of a straight line parallel to a given
- Find the gradient and equation of a straight line parallel to a given line. e.g. find the equation of the line parallel to y = 4x – 1 that passes through (1, –3).
Topic E3.7
E3.7 Perpendicular lines
Objectives in this topic
E3.7.1 Find the gradient and equation of a straight line perpendicular to a
- Find the gradient and equation of a straight line perpendicular to a given line. Examples include: • find the gradient of a line perpendicular to 2y = 3x + 1 • find the equation of the perpendicular bisector of the line joining the points (–3, 8) and (9, –2).