Mathematics
Find the equation of a straight line parallel to x-axis which is at a distance
(i) 2 units above it
(ii) 3 units below it
Answer
(i) We know that the equation of line parallel to x-axis is y = b, where b is the value of the ordinate.
Since the line is 2 units above so, value of ordinate = b = 2.
∴ Equation of the line ⇒ y = 2 or y - 2 = 0.
Hence, the equation of straight line is y - 2 = 0.
(ii) We know that the equation of line parallel to x-axis is y = b, where b is the value of the ordinate.
Since the line is 3 units below so, value of ordinate = b = -3.
∴ Equation of the line ⇒ y = -3 or y + 3 = 0.
Hence, the equation of straight line is y + 3 = 0.