Question

which graph is parallel to x axis (1) y=x+1 (2)y=2 (3) x=1 (4) x=2y

Answer 1

Answer:

y=2 is the correct answer

Answer 2

The graph which is parallel to the x-axis among the options is y = 2. (option 2)

• In the cartesian coordinates system, the equation of a line parallel to the x-axis is such that it is of the form, y = a. Where a is any number. Similarly, a line parallel to the y-axis is in the form of x = b, b being any number.
• Now, among the given options, only option (2) that is, y = 2, is in the form of y = a, and here, a = 2.
• Further, seeing other options, it can be observed that y = x + 1 is a line inclined at some angle to the x- and y-axis, so it can't be || to the x-axis. x = 1 is a line || to the y-axis, and, x = 2y is a line passing through the origin and is also inclined to the axes.