Question

Find the equation of the line parallel to $X$-axis and at a distance:

(ii) 3 units below the $X$-axis.

Answer 1

Calculation of the equation of line.

Equation of a line parallel to the $X$-axis and at a distance $a$ from it is given by:

• $y=+a$ if the line is above the $X$-axis.
• $y=-a$ if the line is below the $X$-axis.

According to the question, the value of $a$ is $3$ units and the line lies below the $X$-axis.

Therefore, the equation of line is $y=-3$.

Final Answer: The equation of the line parallel to $X$-axis and at a distance of 3 units below the $X$-axis is $y=-3$.