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

Question 1

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

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Question 2

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

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Question 4

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

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Question 5

Determine whether the lines $3x-y+2=0$ 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 $-x-2y-1=0$ are parallel, perpendicular or neither.

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Question 7

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

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Question 8

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

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Question 9

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

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Question 10

Determine whether the lines $7x+y-4=0$ and $2x-14y+3=0$ 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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Question Type 6: Identifying whether two lines are perpendicular, parallel or none Exercises