Question

which of the following is equation of a line parallel to y axis ??
1)y=0
2)x+y=z
3)y=x
4)x=a​

Answer 1

The equation of line parallel to y-axis is (4) $x=a.$

Step-by-step explanation:

• We know, Y-axis is the vertical axis on the Cartesian coordinate plane.

• The equation of y-axis is $x=0$ which means that x carries the value 0 for any point lying on y-axis. Similarly, the equation of x- axis is $y=0$ which means that y carries the value 0 for any point lying on x-axis.

• When a line is parallel to y- axis, obviously, the line is not lying on y-axis, which means the equation of line cannot be $x=0.$ The line parallel to y-axis carries some value at x where it is constant. Hence, when the value of x is constant (say 'a'), the line is parallel to y-axis.

Hence, The equation of line parallel to y-axis is (4)$x=a.$

Answer 2

Answer:

x=a

Step-by-step explanation:

option 4