SOLUTION: WRITE AN EQUATION OF THE LINE PASSING THROUGH THE POINT (3,4) AND IS PERPENDICULAR TO THE X-AXIS
THIS QUESTION IS FROM INTEGRATED MATHEMATICS TEXTBOOK
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-> SOLUTION: WRITE AN EQUATION OF THE LINE PASSING THROUGH THE POINT (3,4) AND IS PERPENDICULAR TO THE X-AXIS
THIS QUESTION IS FROM INTEGRATED MATHEMATICS TEXTBOOK
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Question 119182: WRITE AN EQUATION OF THE LINE PASSING THROUGH THE POINT (3,4) AND IS PERPENDICULAR TO THE X-AXIS
THIS QUESTION IS FROM INTEGRATED MATHEMATICS TEXTBOOK Answer by solver91311(24713) (Show Source):
A line perpendicular to the x-axis is a line whose points all have the same x-coordinate. Therefore, if the line passes through (3,4), the x-coordinate of all the points on the line must be 3. The set of points that comprise the line therefore is the set of all ordered pairs (3, y) for all real numbers y. The equation defines the line.
The standard form of a line is , so putting into standard form would result in . Note that the slope of such a line would be undefined because the slope of a line in standard form is defined as and our equation would have a zero in the denominator. This result is consistent with our understanding of the slope of a vertical line.
