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Graphing Linear Equations: Transforming to Slope-Intercept Form

Learn how to transform general linear equations to slope-intercept form Y=mx+b and graph them efficiently. Practice examples included.

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Graphing Linear Equations: Transforming to Slope-Intercept Form

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  1. GRAPHING LINEAR EQUATIONS • TRANSFORMING GENERAL EQUATIONS • TO • SLOPE -INTERCEPT FORM

  2. Transforming to Y-intercept form Y=mx+b

  3. Example: Y-intercept Y= ⅔x -4 Graphing a linear equation in slope-intercept form:y=mx+b ⅔x -4 run: 3 units ● RISE: 2 units ●

  4. Y-intercept YOUR TURN!slope-intercept form:y=mx+b ● -⅗x Y= -⅗x +2 +2 down: 3 units ● run: 5 units

  5. -2x 3 3 -2x 3 Y-intercept Graphing a linear equation in Standard form:Ax + By = C ● 2x+3y= 12 down: 2 units ● run: 3 units 3y= -2x +12 -⅔x y= -⅔x +4 +4

  6. -15x -3 -3 -15x -3 Y-intercept Your Turn!Standard form:Ax + By = C 15x-3y= 9 run: 1 unit ● Rise: 5units -3y= -15x +9 ● y= 5x -3 5x -3

  7. Classwork: A. Convert the following standard equation of a line intoslope-intercept form

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