UPSKILL MATH PLUS

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### 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.