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Q.

Which of the following option represents the given graph?

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a

The length is 3 m less than one time its width. 

b

The width is 6 m less than three times its length. 

c

The length is equal to the width. 

d

The length is 6 m less than three times its width. 

answer is A.

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Detailed Solution

Let the width be x m and the length be y m.  

The corresponding values of x and y for this equation can be given as: 

12 

15 

The linear equation can be written as y=mx+b.

Here for y=3=3m+b   ----(1)

For y=6=4m+b   ---(2)

Solving (1) & (2) 

3=m

Substituting the value of m= 3 in equation (1).

3×3+b=3 b=-6

Therefore the linear equation corresponding to the value is y = 3x − 6,

Therefore the length is 6 m less than three times its width. 

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