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3.2 Solve Linear Equations by Graphing

This lesson focuses on solving linear equations by graphing, emphasizing important vocabulary. Students will learn to form equations by moving all terms to one side and setting them equal to y or f(x). The lesson highlights the relationship between the root (or zero) of an equation and the x-intercept of its related function. Key steps include moving all terms to the right side to set the equation to 0, replacing 0 with y or f(x), and using a table to graphically find solutions. Practice problems from the homework are included.

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3.2 Solve Linear Equations by Graphing

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  1. 3.2 Solve Linear Equations by Graphing

  2. Vocabulary Related Function: formed by moving all terms to one side & setting them equal to y or f(x). The ROOT or ZERO of an equation is equal to the X-INTERCEPT of the Related Function.

  3. Solve by Graphing: • Move all terms to the RIGHT side of the equation (So… 0 = all terms) • Replace the 0 with y or f(x) • Graph with a table • X-intercept = Solution

  4. Ex 1: Solve by graphing.

  5. HW – 3.2 pg. 164 #10-15, 22, 23, 38-40, 44

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