GraphsEquations

Gradient Formula for Real-Life Graphs

Part of Real-Life Graphs — GCSE Mathematics

This equations covers Gradient Formula for Real-Life Graphs within Real-Life Graphs for GCSE Mathematics. Revise Real-Life Graphs in Graphs for GCSE Mathematics with 14 exam-style questions and 12 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 8 of 9 in this topic. Use this equations to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 8 of 9

Practice

14 questions

Recall

12 flashcards

Gradient Formula for Real-Life Graphs

Gradient = (y₂ − y₁) ÷ (x₂ − x₁) = change in y ÷ change in x

Always include units in your answer, taken from the axis labels:

Distance (km) ÷ Time (h) = km/h
Cost (£) ÷ Units = £ per unit
Depth (cm) ÷ Time (s) = cm/s

Practice Questions for Real-Life Graphs

On a distance-time graph, what does a horizontal (flat) section represent?

A. The object is moving at constant speed
B. The object is accelerating
C. The object is stationary
D. The object is returning to the start

1 markfoundation

A distance-time graph shows a section with a negative gradient. Explain what a negative gradient means in the context of a distance-time graph.

2 marksstandard

Quick Recall Flashcards

How do you use a conversion graph to convert a value?

1. Find your value on the known axis 2. Draw a line straight up (or across) to the graph 3. Draw a line across (or down) to the other axis 4. Read off the converted value Always use a ruler for accuracy.

Formula for speed from a distance-time graph?

Speed = gradient = (change in distance) / (change in time) Speed = (y2 - y1) / (x2 - x1) Units: always check axes — e.g. km/h, m/s, miles/minute

Gradient Formula for Real-Life Graphs

Gradient Formula for Real-Life Graphs

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Practice Questions for Real-Life Graphs

Quick Recall Flashcards

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