Geometry 3-6 Parallel and Perpendicular Lines

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Presentation transcript:

Geometry 3-6 Parallel and Perpendicular Lines Parallel lines have the exact same slope (sign and number) but different y-intercepts. Example: y = -2x + 3 and y = -2x – 1 are parallel y = 3x + 3 and y = -3x – 1 are not parallel Example) Are the lines 3x + 2y = 1 and -5y = 10x -5 parallel?

Perpendicular lines have flipped sign, flipped fraction slopes Perpendicular lines have flipped sign, flipped fraction slopes. Example: y = -2/3x + 3 and y = 3/2x – 1 are perp. y = 4/5x + 3 and y = 5/4x – 1 are not perp. y = 6/7x + 3 and y = -6/7x – 1 are not perp. Example) Are the lines 3x + 7y = 14 and 6y = 14x – 12 perpendicular?

Examples What line is parallel to y=4x -1 with a y-intercept of 5? What line is perpendicular to y = 2/5x – 2 with y-intercept 1?

What line is parallel to the given line? Perpendicular? A) y = 4/3x + 1 B) y = 3/4x + 2 (-3, 3) C) y = -4/3x + 3 D) y = -3/4x + 4 (3, -5)

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