Question

Which of the equations below represents a line parallel to the y-axis?

A. x=4
B. x=4y
C. x=-y
D. x=y​

Answer 1

Answer: x=4

Explanation:

Answer 2

The line parallel to y – axis is x = 4. Thus option a is correct.

Solution:

Given, a set of options as linear equations.

We have to choose one which is parallel to the y – axis.

We know that, slope of y – axis is undefined.

As the required line is parallel to the y – axis, its slope should also be equal to slope of y – axis.

Now, let us check one by one option.

Now, a) x = 4

`\rightarrow \text { slope }=\frac{-x \text { coeffiecient }}{y \text { coefficient }}=(-1)/(0)`

= undefined

Here slope of this line is undefined. Which means it is parallel to y – axis.

So, we got our required answer.

Hence, the line parallel to y – axis is x = 4 i.e. option a is correct.