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Graphs and Functions

Learn about point-slope form of linear equations, parallel lines with the same slope, and perpendicular lines with negative reciprocals.

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Graphs and Functions

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  1. Chapter 3 Graphs and Functions

  2. Chapter Sections 3.1 – Graphs 3.2 – Functions 3.3 – Linear Functions: Graphs and Applications 3.4 – The Slope-Intercept Form of a Linear Equation 3.5 – The Point-Slope Form of a Linear Equation 3.6 – The Algebra of Functions 3.7 – Graphing Linear Inequalities

  3. The Point-Slope Form of a Linear Equation § 3.5

  4. Point-Slope Form When the slope and a point on the line are known, we can use thepoint-slope form to determine the line. where m is the slope of the line and (x1, y1) is a specific point on the line. Example: point (1, 4) and slope = -3:

  5. Parallel Lines Two lines are parallel when they have the same slope. Any two vertical lines are parallel to each other. m1 = m2

  6. m1 = -1 m2 Perpendicular Lines Two lines are perpendicular when their slopes are negative reciprocals. Any vertical line is perpendicular to any horizontal line.

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