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Q.

Which of the following line passes through the origin?

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a

$y = 3 x + c$

b

$y = 2 x$

c

$y = 4 x + c$

d

$y = 3 x - c$

answer is B.

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Detailed Solution

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We know that the equation of a line is given by y = mx + c.
Where m is the slope of the line and c is the y-intercept.
A line that passed through the origin will have y-intercept = 0.
Therefore, the value of c also must be zero.
We can see that amongst the given options, only y= 2x has the value of c as zero. Therefore, we can say that line y=2x passes through the origin.

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