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

1.	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
Answer» (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.

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

Answer»

(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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