SOLUTION: what is an equation of the line that is parallel to the y-axis and passes through the point (2,4)?

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Question 390211: what is an equation of the line that is parallel to the y-axis and passes through the point (2,4)?
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


A line parallel to the y-axis is a vertical line. Vertical lines have the characteristic that the x-coordinates of all of the points that comprise the line are equal. Since a line is a set of points, you can describe the desired line by saying:



which means "give me the set of all ordered pairs (x,y) where x is equal to 2 and y is every possible real value"

The equation is then simply



John

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