Space, shape and measurement: Use the Cartesian co-ordinate system to derive and apply equations

• Use the Cartesian co-ordinate system to derive the equation of a line through two given points.
• Use the Cartesian co-ordinate system to derive the equation of a line parallel or perpendicular to another line.
• Use the Cartesian co-ordinate system to derive and use the angle of inclination of a line.

By the end of this unit you will be able to:

• Use the Cartesian co-ordinate system to derive the equation of a line through two given points using:
  • the two-point form
  • the gradient-point form
  • the gradient-intercept form.

By the end of this unit you will be able to:

• Determine the equation of a straight line parallel to another straight line on the Cartesian plane.
• Determine the equation of a straight line perpendicular to another straight line on the Cartesian plane.

By the end of this unit you will be able to:

• Use the gradient of a straight line to determine the angle of inclination of the line with the x-axis.
• Use the angle of inclination to determine the gradient of a straight line.