Dhaval R.

asked • 10/14/17

line passing through origin and parallel to Y-axis

What is the Equation of line passing through origin and parallel to Y-axis?
 

1 Expert Answer

By:

Andrew M. answered • 10/14/17

Mathematics - Algebra a Specialty / F.I.T. Grad - B.S. w/Honors

Andrew M.

Note: There are infinite lines parallel to y-axis.
x = 1
x = 27
x = -6
x = -65.47
 
All these are parallel to the y-axis.
Vertical lines of format x=n
To go through the origin.. (0, 0) it is x = 0
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10/14/17

Dhaval R.

My school teacher told me that if it's y-axis then it will not be parallel to Y-axis.?
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10/14/17

Andrew M.

Then, per your teacher, there is NO line
parallel to the y-axis that passes through 
the origin.  The answer is the empty set.
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10/14/17

Dhaval R.

Yeah.Well thanks for your help. 
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10/14/17

Andrew M.

Actually, parallel is a binary comparisom.  It
requires two lines to check against each other.
A line is not considered parallel to itself.  Since the
only vertical line through the origin is x=0 then 
there is NO line parallel to y-axis that passes 
theough (0, 0).  My apologies.
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10/14/17

Dhaval R.

Now i understood.Thanks.You are pretty good in teaching.
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10/14/17

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