Exercises for Question Type 7: Finding a parallel line and perpendicular line passing through specific point for a given line - IB | RevisionDojo

IB
Question Type 7: Finding a parallel line and perpendicular line passing through specific point for a given line

Question Type 7: Finding a parallel line and perpendicular line passing through specific point for a given line Exercises

Question 1

Find the equation of the line perpendicular to $y = -\frac{1}{2}x + 3$ that passes through the point $(6, 0)$ .

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Question 2

Find the equation of the line perpendicular to $x + 4y - 8 = 0$ that passes through $(-2, 3)$ .

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Question 3

Find the equation of the line parallel to $2x - 3y + 5 = 0$ that passes through the point $(4, -2)$ .

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Question 4

Find the equation of the line parallel to $y = 6x - 4$ that passes through the point $(0, 1)$ .

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Question 5

Find the equation of the line parallel to $y = -\frac{1}{2}x + 5$ that passes through the point $(6, 0)$ .

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Question 6

Consider the line $L$ with equation $x + 4y - 8 = 0$ .

Find the equation of the line parallel to $L$ that passes through the point $(-2, 3)$ .

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Question 7

Find the equation of the line perpendicular to $y = 0.25x - 7$ that passes through $(-8, 2)$ .

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Question 8

Find the equation of the line parallel to $y = 0.25x - 7$ that passes through $(-8, 2)$ .

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Question 9

Find the equation of the line perpendicular to $y = 3x + 1$ that passes through the midpoint of $(2, 5)$ and $(4, 1)$ .

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Question 10

Find the equation of the line parallel to $y = 3x + 1$ that passes through the midpoint of $(2,5)$ and $(4,1)$ .

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Question 11

Find the equation of the line perpendicular to $y = 6x - 4$ that passes through the point $(0, 1)$ .

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Question 12

Find the equation of the line perpendicular to $2x - 3y + 5 = 0$ that passes through the point $(4, -2)$ .

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