Slope of a Line (Leaving Cert Mathematics): Flashcards

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Slope of a Line
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What does slope measure?

How steep a line is; vertical change ÷ horizontal change

Slope formula

m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}

Rise over run meaning

Vertical change divided by horizontal change

Positive slope direction

Line rises from left to right (goes upward)

Negative slope direction

Line falls from left to right (goes downward)

Slope property of parallel lines

Equal slopes

Perpendicular lines' slopes relationship

m1×m2=−1m_1 \times m_2 = -1

What mm represents in slope formula

The slope

How to find vertical change

y2−y1y_2 - y_1

How to find horizontal change

x2−x1x_2 - x_1

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