Special Solutions of Systems

Overview

Goal. Recognize the special systems on sight: different slopes mean one solution; the same slope with different intercepts means no solution; the same line written twice means infinitely many solutions.

Parallel lines (definition). Lines in the same plane that never meet. For two lines in slope-intercept form, parallel means the slopes are equal and the y-intercepts are different.

Parallel lines and the same line in disguise; false and true statements from algebra.

Lesson Notes

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Notes page

Lesson Video

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Interactive Activity

Goal. Recognize the special systems on sight: different slopes mean one solution; the same slope with different intercepts means no solution; the same line written twice means infinitely many solutions.

Parallel lines (definition). Lines in the same plane that never meet. For two lines in slope-intercept form, parallel means the slopes are equal and the y-intercepts are different.

Special Solutions of Systems — Interactive ActivityOpen ›