The Slope of a Line (Leaving Cert Mathematics): Flashcards

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The Slope of a Line
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What does slope measure?

Steepness of a line; how much yy changes per unit change in xx

Alternative name for slope

Gradient

Formula for slope using rise over run

riserun\frac{\text{rise}}{\text{run}} or change in ychange in x\frac{\text{change in y}}{\text{change in x}}

In y=mx+by = mx + b, what is mm?

Slope

In y=mx+by = mx + b, what is bb?

y-intercept

Slope of y=2xy = 2x

22

For slope 23\frac{2}{3}, what are rise and run?

Rise = 2 units, Run = 3 units

For linear functions, slope equals what?

First difference

Calculus notation for slope

dydx\frac{dy}{dx}

For y=ax+by = ax + b, find dydx\frac{dy}{dx}

aa

Direction of positive slope lines

Upward from left to right

Direction of negative slope lines

Downward from left to right

Slope of horizontal lines

Zero (00)

For y=cy = c (constant), what is the slope?

00

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