Perpendicular Lines. ┴ Perpendicular lines are lines that intersect in a right angle. ┴ The slopes of perpendicular lines are negative reciprocals of.

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Presentation transcript:

Perpendicular Lines

┴ 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.

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

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

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

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

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…

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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