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Published byArron Powell Modified over 4 years ago

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Writing equations of parallel and perpendicular lines

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X Y Y = ½X + 6 Y = -²/₁X + 0 Y = ½X - 4 Parallel lines ALWAYS have the same slope Perpendicular lines have OPPOSITE RECIPROCAL slopes

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Write the equation of the line that goes through point (2, 9) and is parallel to the line Y = 2X + 3 Y = mX + b x y m 9 = (2)(2) + b 9 = 4 + b -4 5 = b Y = 2X + 5

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Write the equation of the line that goes through point (-3, -5) and is parallel to the line Y = 3X - 1 Y = mX + b x y m -5 = (3)(-3) + b -5 = -9 + b +9 4 = b Y = 3X + 4

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Write the equation of the line that goes through point (4, -5) and is perpendicular to the line Y = 2X + 3 Y = mX + b x ym -5 = (-½)(4) + b -5 = -2 + b +2 -3 = b Y = -½X - 3

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Determine which lines if any are parallel or perpendicular a) 2X + 6Y = -3b) Y + 8 = 3X c) -15Y + 45X = 60 -2X 6Y = -3 – 2X 66 -3 6 - 2X 6 -1 1 2 3 - X - 8 Y = 3X - 8 -45X -15Y = 60 – 45X -15 60 -15 45X -15 - Y = -⅓X - ½ -4 3 1 1 + X Y = 3X - 4 Parallel lines are… b and c Perpendicular lines are… a and b a and c

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X Y

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X Y

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