Exercises for Question Type 6: Identifying whether two lines are perpendicular, parallel or none - IB

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Exercises for Question Type 6: Identifying whether two lines are perpendicular, parallel or none - IB

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Question 1

Determine whether the lines y + 3 = \frac{1}{4} (x - 8) and 4 y - x + 2 = 0 are parallel, perpendicular or neither.

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Question 2

Determine whether the lines 5 x + 2 y = 1 and - 10 x - 4 y + 5 = 0 are parallel, perpendicular or neither.

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Question 3

Determine whether the line through points (1, 2) and (4, 8) and the line 2 x - y + 5 = 0 are parallel, perpendicular or neither.

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Question 4

Determine whether the lines 4 x - y + 7 = 0 and 2 x - \frac{1}{2} y - 3 = 0 are parallel, perpendicular or neither.

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Question 5

Determine whether the lines 3 x - y + 2 = 0 and y = \frac{1}{3} x - 5 are parallel, perpendicular or neither.

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Question 6

Determine whether the lines y - 4 = 2 (x + 4) and - x - 2 y - 1 = 0 are parallel, perpendicular or neither.

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Question 7

Determine whether the lines 2 x + 3 y - 6 = 0 and 3 x - 2 y + 4 = 0 are parallel, perpendicular or neither.

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Question 8

Determine whether the lines y = 3 x + 2 and y = 3 x - 5 are parallel, perpendicular or neither.

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Question 9

Determine whether the lines y = - \frac{1}{2} x + 4 and x + 2 y - 3 = 0 are parallel, perpendicular or neither.

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Question 10

Determine whether the lines 7 x + y - 4 = 0 and 2 x - 14 y + 3 = 0 are parallel, perpendicular or neither.

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Question 11

Determine whether the line through points (0, 0) and (3, 6) and the line through (1, - 2) with gradient - \frac{1}{2} are parallel, perpendicular or neither.

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Question 12

Determine whether the lines x - y = 0 and x + y = 0 are parallel, perpendicular or neither.

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