Find a line’s slope from coordinate differences and keep the sign.
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First lesson in this subject: Complete the angle sum
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Slope is the change in vertical coordinate divided by the change in horizontal coordinate: (y₂ − y₁)/(x₂ − x₁). It describes how much y changes for each unit of x.
From (1, 1) to (4, 3), the rise is 2 and the run is 3. The slope is 2/3. Use coordinate values rather than the apparent tilt of a drawing with unknown axis scales.
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First lesson in this subject: Complete the angle sum
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Practice · Compare rise and run, related lines and moving points. Explore how direction changes slope.
Book · Explore measurements, transformations, coordinates and geometric relationships through diagrams and worked examples.
Previous lesson · Distinguish the scale factor for side lengths from the scale factor for area.
Next lesson · Predict how a solid changes when every length is multiplied by the same factor.
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