Last updated on Oct 23, 2026

Slope (Leaving Cert Mathematics): Flashcards

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Slope

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What does slope measure?

Steepness and direction of a line

Symbol for slope

$m$

Slope formula

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Meaning of positive slope

Line rises from left to right

Meaning of negative slope

Line falls from left to right

Meaning of zero slope

Horizontal line

Meaning of undefined slope

Vertical line

What slope represents in real-life contexts

Rate of change

Slope in distance vs. time graph

Speed

Slope in cost vs. quantity graph

Cost per unit

Slope of line through $(2,3)$ and $(5,7)$

$\frac{4}{3}$

Interpretation: slope of $50$ in distance-time graph

Speed of $50$ km per hour

Explore Leaving Cert Mathematics Revision Notes by Topics

The Line

The Basics

Parallel/Perpendicular Lines

Area of a Triangle

Line Segment Division/Graphing Lines

Perpendicular Distance

Angle between Lines

Explore Leaving Cert Mathematics Model Answers by Topics

The Line

The Basics

Parallel/Perpendicular Lines

Area of a Triangle

Line Segment Division/Graphing Lines

Perpendicular Distance

Angle between Lines

Explore Leaving Cert Mathematics Quizzes by Topics

The Line

The Basics

Parallel/Perpendicular Lines

Area of a Triangle

Line Segment Division/Graphing Lines

Perpendicular Distance

Angle between Lines

Explore Leaving Cert Mathematics Exam Questions by Topics

The Line

The Basics

Parallel/Perpendicular Lines

Area of a Triangle

Line Segment Division/Graphing Lines

Perpendicular Distance

Angle between Lines

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