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Mastering Linear Equations: Slope Formulas & Examples

Learn how to find slopes, write equations, and identify special slope relations to master linear equations. Includes examples and explanations for parallel and perpendicular lines. Practice your skills through an online game!

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Mastering Linear Equations: Slope Formulas & Examples

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  1. Ch 1.1: Lines in a Plane

  2. Slope = Formula: Slope = Example: Find the slope of a line that goes through (2, 8) and (-3, 5)

  3. Writing the equation of a line with 2 points • Find the slope with the 2 points • Use the slope and the 1st point given and plug it into the following equation • M = Slope, X1 = x-value, Y1 = y-value

  4. Example: Find the equation of a line through (5, 3) and (-10,0) • Find Slope • 2.Use Slope and 1st ordered pair • 3. Plug into formula

  5. Special Slope Relations • Parallel Lines: Same Slope!! • Perpendicular Lines: Slopes are Opposite Reciprocal • Example: • X = #: Slope = UNDEFINED • Y = #: Slope = 0

  6. Ex: Find the equation of a line Perpendicular to y= 3x + 2 and goes through (6, 3) • Perpendicular lines have Opposite Reciprocal Slopes!! 3 -> and (6,3) y = x + 3 - CLICK HERE FOR AN ONLINE GAME WITH LINEAR EQUATIONS

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