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Question

Find the equation of the line passing through the point (3,2) and parallel to the line 4x+y=11.


A

4x+y=14

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B

x+4y10=0

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C

3x+4y14=0

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D

3x+y11=0

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Solution

The correct option is A

4x+y=14


Line is passing through the point (3,2)

Line 4x+y=11 can be written as y=4x+11

Slope = -4 [as y = mx + c, where m is the slope]

So, equation of the required line is (y2)=(4)(x3) [point slope formula of line]

y2=4x+12

4x+y=14


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