Tutorial

GCSE Maths: Equations of Lines

Learn to find the equation of a straight line using its gradient and points. This deck covers the standard y = mx + c form, and the conditions for parallel and perpendicular lines, essential for GCSE Higher Tier.
GCSE Maths: Equations of Lines

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Deck Contents

22 Cards
Lesson#1
In this deck, we'll learn how to find the equation of a straight line. This is a fundamental skill in algebra and geometry. We'll focus on the most common form of a line's equation, and how to use information like a point on the line, or its steepness, to define it precisely.
Lesson#2
The equation of a straight line is most often written in the form y equals m x plus c. This is a powerful formula because it tells you everything you need to know about the line. The two important parts are 'm' and 'c'.
Quiz#3
What does the letter 'm' represent in the equation y equals m x plus c?

gradient

Quiz#4
What does the letter 'c' represent in the equation y equals m x plus c?

y-intercept

Lesson#5
The gradient, 'm', tells you the steepness of the line. A large positive gradient means a very steep upward slope, while a negative gradient means the line slopes downwards. The y-intercept, 'c', tells you the exact point where the line crosses the vertical y-axis.
Quiz#6
In simple terms, what does the gradient of a line describe?

its steepness

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