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Linear Graphs Problems

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 pick up marks when it appears in mixed-topic papers.

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Lines in the Real World

Introduction 2

The Equation y = mx + c — Quick Reference

Key Facts 3

Finding the Equation of a Line

Deep Dive 4

Solving Simultaneous Equations Graphically

Deep Dive 5

Real-Life Linear Graphs — Interpreting Context

Deep Dive 6

Interpolation and Extrapolation

Deep Dive 7

Exam Tips for Linear Graphs Problems

Exam Tips 8

Worked Examples

Notes 9

Common Misconceptions

Misconceptions 10

Topic Summary: Linear Graphs Problems

Summary

Sample 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

Sample Questions

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

exam-style questions

revision flashcards

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