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1 Answers

Pawan Prajapati

askIITians Faculty
60785
Points

one year ago

We need to write an equation representing the y-axis. We start to solve the given question by writing an equation of line parallel to the y-axis. Then, we substitute the value of (x,y) as (0,0) in the above equation to get the required result.
Complete step by step solution:
We need to find the equation representing the y-axis. We will be solving the given question by writing an equation of line parallel to the y-axis and substituting the value of (x,y) as (0,0) to get the equation representing y-axis.
In the cartesian coordinate system, the x-axis is the horizontal plane. It starts from negative infinity and continues till positive infinity.
In the cartesian coordinate system, the y-axis is the vertical plane. It starts from negative infinity and ends at positive infinity.
The x-axis and y-axis in the cartesian coordinate plane system are also called abscissa and ordinate respectively.
According to the question,
We need to find the equation representing the y-axis.
We know that the line equation of line to the y-axis is given by represented as follows,
⇒x=k
Here,
k is any constant term.
We know that y-axis passing through the point (0,0)
Now,
We need to substitute the value of x in the above equation as 0 .
Substituting the value of x in the above line equation, we get,
⇒0=k
From the above, we know that,
∴k=0
Substituting the value of k in the line equation, we get,
⇒x=k
∴x=0
Thus, the equation representing the y-axis is x=0
The graph of the equation x=0 is represented diagrammatically as follows,
Note:The given question can be solved alternatively as follows,
For a line equation representing the y-axis, there is no deviation of the line from the vertical axis or y-axis. That means the value of x would be zero throughout.
Hence, the equation representing the y-axis is given by x=0