Question

For the line parallel to x-axis

Points & Coordinates	A	B	C	D
x	1	4	3	6
y	2	0	3	2
(x , y)	(1 , 5)	(4 , 0)	(1, 3)	(6 , 2)

For the line parallel to y-axis

Points & Coordinates	P	Q	R	S
x	0	1	3	1
y	2	0	4	4
(x , y)	(0, 2)	(1, 0)	(3 , 4)	(1 , 4)

(i) In the table for the line parallel to x-axis for any value of x , y is always _____________
(ii) In the table for the line parallel to y-axis for any value of y, x is always _____________
(iii) So, the equation of the line parallel to x-axis is y = __________ it can also be written as 0x + y = __________
(iv) So, the equation of the line parallel to y-axis is x = __________ it can also be written as x + 0y = __________

Answer 1

$i)$ Constant

$ii)$ Constant

$iii)y=k⟹0x+y=kiv)x=k⟹x+0y=k$