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Published byCalvin Burke Modified over 7 years ago

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Lesson 5.5 OBJ: To write equations of parallel and perpendicular lines.

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Parallel Lines If two non-vertical lines in the same plane have the same slope, then they are parallel. If two non-vertical lines in the same plane are parallel, then they have the same slope.

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Example Write an equation of the lines that passes through point (-2, 11) and is parallel to the line y = -x + 5. Identify the slope. Find the y-intercept. Write the equation in slope-intercept form.

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Example Write an equation of the line that passes through (-3, 3) and is parallel to the line y = -2x + 1 You may also use the point slope form of the equation.

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Perpendicular Lines Two lines in the same plane that intersect to form a right angle. If two non-vertical lines in the same plane have slopes that are negative reciprocals, then the lines are perpendicular. If two non-vertical lines in the same plane are perpendicular, then their slopes are negative reciprocals.

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Examples Write an equation of the line that passes through (4, 3) and is perpendicular to the line y = 4x – 7. Write an equation of the line that passes through (4, -2) and is perpendicular to the line y = 4x +2.

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Determine which lines, if any, are parallel or perpendicular. Line a: 2x + 6y = -3 Line b: y = 3x – 8 Line c: -1.5y + 4.5x = 6

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Homework Text p. 322-323, #’s 1, 2, 4-26 evens, 28, 29

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