Coordinates and vectors

Use coordinate differences to calculate gradients and lengths, then connect straight-line equations with their geometric features.

Straight lines and coordinate lengths

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SEAB syllabus · 2027 · MOE syllabus

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About this topic

Before you begin

Use coordinate differences to calculate gradients and lengths, then connect straight-line equations with their geometric features.

Learning goals
  • Find a finite line gradient from two given coordinate pairs
  • Produce a line equation and its gradient/intercept from two given points
  • Calculate the distance between two points
  • Reason and calculate using coordinate geometry
Syllabus statements covered
  • Finding the gradient of a straight line given the coordinates of two points on it
  • Finding the length of a line segment given the coordinates of its end points
  • Interpreting and finding the equation of a straight line graph in the form y = mx + c
  • Geometric problems involving the use of coordinates
  • Finding the gradient of a straight line given the coordinates of two points on it
  • Finding the length of a line segment given the coordinates of its end points
  • Interpreting and finding the equation of a straight line in the form y = mx + c
  • Geometric problems involving the use of coordinates

In this topic

Straight lines and coordinate lengths

Connect line equations, gradients and distance with coordinate differences.