Question

Which of the following equations graphs as a vertical parallel to the y-axis?

Answer 1

Answer:

x = 1 is the equation of a vertical line parallel to y-axis, as shown in attached figure.

Step-by-step explanation:

• As the equation of y-axis is $x=0$.

• If a line is parallel to y-axis i.e. x=0, then location of the that line will have at some distance - let say d - from y.

• The Distance d will be positive or negative depending on whether the line is located at the left side or right side of the y-axis.

• So, the equation of any parallel line to the y-axis and has an x-intercept will have an equation like x = a where a is the x-intercept.
• The slope of this vertical line will be undefined.

Therefore, from the above discussion, we can safely say that x = 1 is the equation of a vertical line parallel to y-axis, as shown in attached figure.

Keywords: graph, vertical line parallel to y-axis.

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