What is the equation of the line that is parallel to the line x = –2 and passes through the point (–5, 4)?

x = –5
x = 4
y = –5
y = 4

x = –5

Step-by-step explanation:

Since x = –2 is considered an undefined rate of change [slope], in the ordered pair of [–5, 4], the other undefined slope would obviously be x = –5.

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x = -5

Step-by-step explanation:

Since x=-2 is parallel to y axis , so the line parallel to x=-2 must be parallel to y axis.

It should be in the form x=a [where a is the x-coordinate of each and evry point on the line.]  (1)

In point (-5,4) , the x-coordinate = -5

If the line passes through the point (–5, 4) and parallel to y-axis , then it must be x=-5.   (from (1))

Therefore, the equation of the line that is parallel to the line x = –2 and passes through the point (–5, 4) is x = -5 .

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