Linear and Non Linear Relationships · Algebraic Thinking

The Geometry of the Cartesian Plane

Using coordinates to calculate distance, midpoint, and gradient to describe line segments.

Key Questions

  1. 1How is the distance formula simply an application of the Pythagorean theorem?
  2. 2Why is the product of the gradients of perpendicular lines always negative one?
  3. 3How does the midpoint formula represent the average of two spatial locations?

ACARA Content Descriptions

AC9M10A05
Year: Year 10
Subject: Mathematics
Unit: Linear and Non Linear Relationships
Period: Algebraic Thinking

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