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.