Question

Which of the equations given below have graphs parallel to the X-axis, and which ones have graphs parallel to the Y-axis ?

(i) x = 3 (ii) y $-$2 = 0 (iii) x + 6 = 0 (iv) y = $-$5

Answer 1

(i)
x = 3 is the equation of the line parallel to Y-axis at a distance of 3 units and to the right of Y-axis.

Thus, the graph of the line x = 3 is parallel to Y-axis.

(ii)
y − 2 = 0

⇒ y = 2

y = 2 is the equation of the line parallel to X-axis at a distance of 2 units and above the X-axis.

Thus, the graph of the line y − 2 = 0 is parallel to X-axis.

(iii)
x + 6 = 0

⇒ x = −6

x = −6 is the equation of the line parallel to Y-axis at a distance of 6 units from it to its left.

Thus, the graph of the line x + 6 = 0 is parallel to Y-axis.

(iv)
y = −5 is the equation of the line parallel to X-axis at a distance of 5 units and below the X-axis.

Thus, the graph of the line y = −5 is parallel to X-axis.