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 $y = 6x - 4$ that passes through the point $(0,1)$ .

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Question 2

A fence must be built perpendicular to the driveway given by $y=2x-5$ at the point where $x=3$ . Find the equation of the fence.

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Question 3

A road runs along the line $y = 0.5x + 3$ . A parallel service road must pass through $P(-4, -1)$ . Find its equation.

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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 $y=-\frac{1}{3}x+2$ through the point $(-3,1)$ .

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Question 6

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

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Question 7

Given the line $3x-2y+5=0$ , find the equation of the line perpendicular to it passing through $(4,-1)$ .

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Question 8

Given $2x+5y-7=0$ , find the equation of the line perpendicular to it passing through $(2,0)$ .

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Question 9

Find the equation of the line parallel to the line through $A(1,-2)$ and $B(4,4)$ that passes through $C(-1,3)$ .

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Question 10

Find the equation of the line perpendicular to the line through $A(1,-2)$ and $B(4,4)$ that passes through $C(-1,3)$ .

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Question 11

Find the equation of the line perpendicular to the line through $(1, 2)$ and $(3, 6)$ that passes through the origin.

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Question 12

Given the line $3x-2y+5=0$ , find the equation of the line parallel to it passing through $(4,-1)$ .

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