Back to Coordinates and vectors

Coordinate gradients, line equations and lengths topic check

Practise coordinate gradients, line equations and lengths in G2 Mathematics, check independently, and return later to review. This check covers selected skills, not the whole course topic.

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
  • G2 Mathematics 2027
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Find a finite line gradient from two given coordinate pairs · Check your progress

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Produce a line equation and its gradient/intercept from two given points · Check your progress

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Calculate the distance between two points · Check your progress

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Check again

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Find a finite line gradient from two given coordinate pairs · Check again

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Produce a line equation and its gradient/intercept from two given points · Check again

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Calculate the distance between two points · Check again

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Retention check

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Find a finite line gradient from two given coordinate pairs · Retention check

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Produce a line equation and its gradient/intercept from two given points · Retention check

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Calculate the distance between two points · Retention check

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Practise: Find a finite line gradient from two given coordinate pairs

Practise questions on the skills you are learning.

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Practise: Produce a line equation and its gradient/intercept from two given points

Practise questions on the skills you are learning.

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Practise: Calculate the distance between two points

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Revision notes

Revise coordinates and vectors

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

Key ideas

  1. Straight lines and coordinate lengths

    Connect line equations, gradients and distance with coordinate differences.

What the syllabus asks

From the G2 Mathematics 2027 syllabus

  • 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