SOLUTION: 12. Determine the equation of the line, in standard form (S.F.): c) perpendicular to the x-axis and with the same x-intercept as 6x-5y+18=0. Thank you very much!!!!

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: 12. Determine the equation of the line, in standard form (S.F.): c) perpendicular to the x-axis and with the same x-intercept as 6x-5y+18=0. Thank you very much!!!!      Log On


   



Question 189847: 12. Determine the equation of the line, in standard form (S.F.):
c) perpendicular to the x-axis and with the same x-intercept as 6x-5y+18=0.
Thank you very much!!!!

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


A line perpendicular to the x-axis is a vertical line. All vertical lines have an equation of the form:



meaning the set of ordered pairs where the x-coordinate is always a and the y-coordinate is any real number.

The x-intercept of the given equation is an ordered pair of the form (a,0), so you need to find the value of a to substitute for x in so that y = 0.

To find this value, rearrange the equation so that you have y on one side of the equals sign and everything else on the other side. Then replace y with 0 and solve for x. This value will be your a in the equation above.

To me,



is Standard Form, though some may prefer



It depends on whether Standard Form is defined as:



or



John