UPSKILL MATH PLUS

Learn Mathematics through our AI based learning portal with the support of our Academic Experts!

Learn more### Theory:

Consider drawing a line parallel to \(y\) - axis, which is at a distance of \(b\) units. Then, the \(x\) coordinate of every point on the straight line will be "\(b\)".

Hence, the general equation of the line parallel to \(y\) - axis is \(x = b\).

Example:

Consider plotting the points \((2,-3,)\), \((2,-2)\), \((2,-1)\), \((2,0,)\), \((2,1)\), \((2,2)\), \((2,3)\).

Now, draw a line joining these points. The line is at a distance of \(2\) units from the \(y\) - axis. Here, \(b = 2\).

Therefore, the equation of the line parallel to \(y\) - axis is \(y = 2\).

Important!

**1**. If \(b > 0\), then the line \(x = b\) lies on the right side of the \(y\) - axis.

**2**. If \(b < 0\), then the line \(x = b\) lies on the left side of the \(y\) - axis.

**3**. If \(b = 0\), then the line \(x = b\) lies on the \(y\) - axis.