Find the equation of a line parallel to the x - axis at a distance of

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.

 

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