Gradient of a Straight Line

What is gradient?

Gradient measures steepness: gradient = rise / run

For points A(x1, y1) and B(x2, y2):

m = (y2 - y1) / (x2 - x1)

Types

Positive gradient: Line slopes up from left to right.

Negative gradient: Line slopes down from left to right.

Zero gradient: Horizontal line, y = c.

Undefined gradient: Vertical line, x = k.

Example: Gradient of line through (1, 2) and (4, 8) = (8-2)/(4-1) = 6/3 = 2

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Related Exercises

Find the gradient

Find the gradient of the line through:(0, 0) and (2, 6)(1, 5) and (4, -1)(-2, 3) and (3, 3)(4, 1) …

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