Lesson Plan: Equation of a Straight Line: General Form Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to find and write the equation of a straight line in general form.

Objectives

Students will be able to

  • identify the general form of the equation of a straight line as 𝑎𝑥+𝑏𝑦+𝑐=0,
  • find the following properties of a straight line given in general form:
    • the 𝑥- and 𝑦-axes intercepts,
    • a missing 𝑥- or 𝑦-coordinate for a point that lies on the line,
    • the slope of the line,
  • find the equation of a straight line in general form when given
    • the 𝑥- and 𝑦-axes intercepts,
    • two arbitrary points that the line passes through,
    • the slope of the line and a point that it passes through,
  • convert the equation of a straight line into general form when it is given in
    • slope–intercept form,
    • point–slope form,
    • standard form,
    • two-intercept form.

Prerequisites

Students should already be familiar with

  • equations of a straight line (although not necessarily the name and methods related to each form),
  • finding the slope of a line from coordinates.

Exclusions

Students will not cover

  • equations of curved lines,
  • function notation.

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