Question:
Find the equation of a line parallel to the x - axis at a distance of
(i) 4 units above it
(ii) 5 units below it
Solution:
(i) Equation of line parallel to $x$-axis is given by $y=$ constant, as the $y$ -
coordinate of every point on the line parallel to $x$ - axis is 4, i.e. constant. Now the point lies above $x$-axis means in positive direction of $y$-axis,
So, the equation of line is given as y = 4.
(ii) Equation of line parallel to $x$-axis is given by $y=$ constant, as the $y$ - coordinate of every point on the line parallel to $x$-axis is $-5$ i.e. constant. Now the point lies below $x$ axis means in negative direction of $y$-axis,
So, the equation of line is given as y = - 5.