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Exam Tips for Linear Graphs Problems

Part of Linear Graphs Problems — GCSE Mathematics

This exam tips covers Exam Tips for Linear Graphs Problems within Linear Graphs Problems for GCSE Mathematics. Revise Linear Graphs Problems in Graphs for GCSE Mathematics with 16 exam-style questions and 11 flashcards. This topic appears less often, but it can still be a useful differentiator on mixed-topic papers. It is section 7 of 10 in this topic. Treat this as a marking guide for what examiners are looking for, not just a fact list.

Topic position

Section 7 of 10

Practice

16 questions

Recall

11 flashcards

💡 Exam Tips for Linear Graphs Problems

  • Always check your equation: substitute both original points back in to verify
  • For graphical simultaneous equations: draw accurate lines and read coordinates precisely — errors in plotting will give wrong answers
  • In context questions: always write units with your gradient (£/hour, km/h, etc.)
  • Fixed charge vs variable cost: y-intercept = fixed charge; gradient = cost per unit
  • Rearrange first: if the equation is not in y = mx + c form, rearrange before identifying m and c
  • Negative gradient in context: means the quantity is decreasing (e.g. fuel tank emptying, candle burning down, value depreciating)

Keep building this topic

Read this section alongside the surrounding pages in Linear Graphs Problems. That gives you the full topic sequence instead of a single isolated revision point.

Interpolation and ExtrapolationWorked ExamplesLines in the Real WorldThe Equation y = mx + c — Quick Reference

Practice Questions for Linear Graphs Problems

A taxi company charges a fixed fee plus an amount per mile. On a cost graph (£ against miles), what does the y-intercept represent?

  • A. The cost per mile
  • B. The total cost of the journey
  • C. The fixed charge before any miles are travelled
  • D. The gradient of the line
1 markfoundation

A plumber charges according to the formula C = 40t + 30, where C is the total cost in pounds and t is the time in hours. Explain what the values 40 and 30 represent in this context.

2 marksstandard

Quick Recall Flashcards

What does each letter in y = mx + c represent?
y = mx + c m = gradient (steepness of the line) c = y-intercept (where the line crosses the y-axis) Example: y = 3x + 2 has gradient 3 and crosses y-axis at (0, 2).
Steps to find the equation of a line from a graph
1. Read the y-intercept (c) where line crosses y-axis 2. Choose two clear points on the line 3. Calculate gradient m = (y2 - y1)/(x2 - x1) 4. Write y = mx + c Example: crosses (0, 1), gradient 2 → y = 2x + 1

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Interpolation and Extrapolation

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Worked Examples