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

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): You can put this solution on YOUR website!
Please don't write your questions in all CAPs.

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.

Hope this helps.
RELATED QUESTIONS
what is the slope int form of a line that is passing through the point of (-2,5) and is... (answered by ewatrrr)

Passing through (4,-8) and perpendicular to the line whose equation is x-5y=3 Write an (answered by Boreal,josgarithmetic,ikleyn)

Write an equation of a line through the point (2, 4) that is perpendicular to the x-axis. (answered by math_helper,Boreal)

What is the equation of the line perpendicular to the line x=4 and passing through the... (answered by richwmiller,Alan3354)

write the slope -int form for an equation of a line that passes through (0,4) and is... (answered by jim_thompson5910)

what is the equation of a line perpendicular to the line y=-3/2x+4, passing through the... (answered by Boreal)

question......write an equation in point slope form and slope intercept form of the line... (answered by stanbon)

Draw the line through the point (-3, 4) that is parallel to the x-axis. Write the... (answered by MathLover1)

Write an equation of the line satisfying the given conditions. The line is perpendicular (answered by KnightOwlTutor)

write in point slope form equation that passes through the point 3,0 and a slope of 2/3 (answered by Alan3354,ikleyn)