Write down the equations of the following lines.
(a) A line paralel to x-axis at a distance of 2 units below it
(b) A line parallel to y-axis at a distsance of 5 units on right head side of it
(c ) A line parallel to x-axis passing through (4,2)
(d) A line which is equidistant from `x=2 and x=-4`

Explanation

(a) `y=-2`
(b) `x=5`
(c ) The equation of a line parallel to x-axis is `y=b`
Since, it passes through `(4,2)` so `b=2`
Hence, the equation of the required line is `y=2`
(d) Since the given lines are both parallel to y-axis and the required line is equidistant from these lines. So, it is parallel to y-axis and its distance from y-axis is `1/2(2+(-4))=-1`
This means the distance from y axis is 1 unit left hand side of it. Hence, the required equation is `x=-1.`