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Consider drawing a line parallel to \(x\) - axis, which is at a distance of \(b\) units. Then, the \(y\) coordinate of every point on the straight line will be "\(b\)".
Hence, the general equation of the line parallel to \(x\) - axis is \(y = b\).
Example:
Consider plotting the points \((-3,4)\), \((-2,4)\), \((-1,4)\), \((0,4)\), \((1,4)\), \((2,4)\), \((3,4)\).
Now, draw a line joining these points. The line is at a distance of \(4\) units from the \(x\) - axis. Here, \(b = 4\).
Therefore, the equation of the line parallel to the \(x\) axis is \(y = 4\).
Important!
1. If \(b > 0\), then the line \(y = b\) lies above the \(x\) - axis.
2. If \(b < 0\), then the line \(y = b\) lies below the \(x\) - axis.
3. If \(b = 0\), then the line \(y = b\) lies on the \(x\) - axis.
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