Find the equation of the line which is equidistant from the lines x = –2 and x = 6.

To Find: The equation of the line


Formula Used: The equation of line is [y – y1 = m(x – x1)]


Explanation:


Let us plot the lines



Now the line must be at the centre of the lines (–2, 0) and (6, 0).


The Midpoint formula =


Therefore,


Midpoint =


Midpoint = (2, 0)


Hence, the equation of the line is x = 2.


6