Algebra

GCSE Maths: Straight-Line Graphs

Master GCSE Maths straight-line graphs — gradient, y-intercept, y = mx + c, perpendicular and parallel lines. AQA, Edexcel and OCR.

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Key Concepts in Straight-Line Graphs

  • Gradient of a straight line
  • y = mx + c
  • Finding the equation of a line
  • Parallel and perpendicular lines
  • Midpoint and distance between two points

Exam Tips for Straight-Line Graphs

  • 💡Gradient = rise ÷ run = (y₂−y₁)/(x₂−x₁)
  • 💡Parallel lines have the same gradient
  • 💡Perpendicular lines: gradients multiply to −1

Exam Board Coverage

Straight-Line Graphs appears on all major GCSE Maths exam boards at both Foundation and Higher tier.

AQA
Edexcel
OCR

Frequently Asked Questions

How do I find the equation of a straight line?

Find the gradient m using two points, then substitute one point into y = mx + c to find c.

How do I find a perpendicular gradient?

If the original gradient is m, the perpendicular gradient is −1/m (the negative reciprocal).