ACARA AC9M9A03, Gradient, midpoint and distance

Year 9 · Algebra

Find the gradient of a line segment, the midpoint of an interval and the distance between two points on the Cartesian plane.

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Coordinate geometry: gradient, midpoint and distance

Year 9 (ages 14 to 15)

Teaching guide

What students learn

Find the gradient of a line segment, the midpoint of an interval and the distance between two points on the Cartesian plane.

Worked example

Find the gradient of the line through (-5, -3) and (0, -23).

Answer: -4

Why: (-23 - -3) / (0 - -5) = -20 / 5 = -4

Generated and checked in code, so it is correct.

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More Year 9 Algebra codes: AC9M9A01 · AC9M9A02 · AC9M9A04 · AC9M9A05 · AC9M9A06

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Australian Curriculum content descriptions (c) ACARA, used under CC BY 4.0. Descriptions are paraphrased. See australiancurriculum.edu.au.