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Published byJeffry Singleton Modified over 9 years ago

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Perpendicular Lines

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┴ Perpendicular lines are lines that intersect in a right angle. ┴ The slopes of perpendicular lines are negative reciprocals of each other. (Multiplying the two slopes together & their product will equal –1.) ┴ Find the equation of a perpendicular: a.) first find the slope (m) of the given line; b.) find the equation of the line through the given point with opposite reciprocal slope.

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Testing if Lines Are Perpendicular Since the slopes are negative reciprocals of each other the lines are perpendicular.

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Graphs of Perpendicular Lines The red line is the graph of y = – 2x + 5 and the blue line is the graph of y = – 1 / 2 x +4

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Practice Testing if Lines Are Perpendicular Since the slopes are not negative reciprocals of each other (their product is not -1) the lines are not perpendicular

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Practice Testing if Lines Are Perpendicular Since the slopes are negative reciprocals of each other (their product is -1) the lines are perpendicular.

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Constructing Perpendicular Lines Find the equation of a line going through the point (3, -5) and perpendicular to The slope of the perpendicular line will be m = 3 / 2. ┴ Using the slope-intercept form of an equation where the slope m = 3 / 2 and the point is (3, -5) we get…

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Practice Constructing Perpendicular Lines Find the equation of the line going through the point (4,1) and Perpendicular to Find the equation of the line going through the point (-2,7) and perpendicular to

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Homework

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