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Lesson 2-2-3

Lesson 2-2-3. -Determine if lines are parallel, perpendicular, or neither. Parallel/Perpendicular. Comparing slopes of lines can help determine if two lines are parallel, perpendicular , or neither . Two lines are parallel if they have the same slopes (and different y-intercepts)

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Lesson 2-2-3

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  1. Lesson 2-2-3 -Determine if lines are parallel, perpendicular, or neither

  2. Parallel/Perpendicular Comparing slopes of lines can help determine if two lines are parallel, perpendicular, or neither. Two lines are parallelif they have the same slopes(and different y-intercepts) Two lines are perpendicular if their slopes are opposite reciprocals

  3. Examples: Determine if the lines are parallel, perpendicular, or neither. 1) and 4x – y = -1

  4. Examples: Determine if the lines are parallel, perpendicular, or neither. 2) the line passing through (1, 6) and (8, -1) and x + y = 2

  5. Examples: 3) Write an equation in Slope-Intercept form of the line passing through the point (5, -3) and perpendicular to the line y = 4x + 1

  6. Examples: 4) Write an equation in standard form of the line passing through (2, 1) and parallel to the line

  7. Wrap-Up: How can you use the equations of two non-vertical lines to tell whether the lines are parallel or perpendicular? Find the slopes and compare: --Same slope – parallel --Opposite reciprocal slopes - perpendicular

  8. Assignment: Practice 6-5 worksheet

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