Distance, Midpoint, & Gradient

Distance between two points, midpoint of two points, and finding gradient using two points

Want a deeper conceptual understanding? Try our interactive lesson!

Exercises

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Key Skills

Distance between 2 points

SL 2.prior

The distance between two points (x1,y1) and (x2,y2) is given by

d=√(x1−x2)2+(y1−y2)2📖

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Distance between 2 points

SL 2.prior

The distance between two points (x1,y1) and (x2,y2) is given by

d=√(x1−x2)2+(y1−y2)2📖

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Midpoint of 2 points

SL 2.prior

The coordinates of the midpoint of two points is

(2x1+x2,2y1+y2)📖

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Slope as rise over run

SL Core 2.1

The gradient of the line is a measure of its steepness. It is calculated by measuring the rise (change in y) in the line over a certain run (change in x).

The gradient of the line passing through the points (x1,y1) and (x2,y2) is

m=x2−x1y2−y1📖

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