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Understanding Linear Functions: Slope, Y-Intercept, and Solutions

This guide explains the fundamentals of linear functions, focusing on the relationship between slope (m) and y-intercept (b). Learn how to identify the key components of a line represented by the equation y = mx + b. Discover that when two lines share the same slope and y-intercept, they yield infinite solutions. When lines have the same slope but different y-intercepts, they are parallel, resulting in no solutions. Through practical examples, including the equations m=2, b=7 and m=-1, understand how these concepts apply to graphing linear equations.

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Understanding Linear Functions: Slope, Y-Intercept, and Solutions

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Presentation Transcript

  1. Systems by graphingFoldable

  2. b = y-intercept where you start m = slope what you move b = 1 m = 2 b = 7 m = -1 (2,5)

  3. One line Same slope- SAMEy-intercept Infinite solutions

  4. Parallel lines Same slope-differenty-intercept No solution

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