Last updated on Oct 23, 2026

Fundamentals of Calculus (Leaving Cert Mathematics): Quizzes

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The Slope of a Line

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What does the slope of a line measure?

How steep a line is

What is another name for slope?

Gradient

What is the formula for slope using rise and run?

$\frac{\text{rise}}{\text{run}}$

In the equation $y = mx + b$ , what does $m$ represent?

The slope

What is the slope of the line $y = 2x$ ?

$2$

For the line $y = \frac{2}{3}x$ , what is the rise when the run is 3 units?

$2$ units

For linear functions, what equals the slope?

The first difference

How is slope written in calculus notation?

$\frac{dy}{dx}$

What type of slope does a line have if it goes upward from left to right?

Positive slope

What type of slope does a line have if it goes downward from left to right?

Negative slope

What is the slope of the horizontal line $y = 6$ ?

$0$

For the equation $y = -3x + 5$ , what is $\frac{dy}{dx}$ ?

$-3$

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