The Gradient of a Straight Line (VCE SSCE Mathematical Methods): Flashcards

📚Flashcards
The Gradient of a Straight Line
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Gradient measures

Steepness or slope of a line

Rise

Vertical change in yy-values

Run

Horizontal change in xx-values

Gradient formula

m=y2y1x2x1m = \frac{y_2 - y_1}{x_2 - x_1}

Positive gradient direction

Upward from left to right

Negative gradient direction

Downward from left to right

Gradient of horizontal line

Zero

Gradient of vertical line

Undefined

Gradient-angle relationship

m=tanθm = \tan \theta

Angle type when gradient is negative

Obtuse (90°90° to 180°180°)

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