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Understanding Parallel and Perpendicular Lines in Math

Learn about the properties of parallel and perpendicular lines in mathematics. Understand how to write equations for parallel and perpendicular lines and classify them based on their slopes and intersections.

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Understanding Parallel and Perpendicular Lines in Math

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  1. 5-6Parallel and Perpendicular Lines

  2. Parallel Lines: lines in the same plane that never intersect Perpendicular Lines: Lines that form right angles

  3. PARALLEL LINES: • Have the same slope • But different y-intercepts

  4. Problem 1: Writing an Equation of a Parallel Line A line passes through and is parallel to the graph of . What equation represents the line in slope-intercept form?

  5. A line passes through and is parallel to the graph of . What equation represents the line in slope-intercept form?

  6. PERPENDICULAR LINES: • Have the opposite-reciprocal slopes • What does opposite-reciprocal mean?

  7. Problem 3: Writing an Equation of a Perpendicular Line What is the equation that represents the line that passes through and is perpendicular to the graph of

  8. What is the equation that represents the line that passes through and is perpendicular to the graph of

  9. Problem 2: Classifying Lines Are the graphs of parallel, perpendicular, or neither? Why?

  10. Are the graphs of parallel, perpendicular, or neither? Why?

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