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Write the equation representing y-axis?

Write the equation representing y-axis?

Grade:12th pass

1 Answers

Pawan Prajapati
askIITians Faculty 9723 Points
14 days 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

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