Answered

IDNLearn.com is designed to help you find the answers you need quickly and easily. Ask anything and receive comprehensive, well-informed responses from our dedicated team of experts.


What is the slope and equation of a line parallel to the y-axis passing through point (9, -1)?
O A. The slope is zero and the equation of the line is y=-1.
O B. The slope is undefined and the equation of the line is y = -1.
O C. The slope is undefined and the equation of the line is x = 9.
D. The slope is zero and the equation of the line is x

Sagot :

Ashraf82idn

Answer:

The slope is undefined and the equation of the line is x = 9 ⇒ C

Step-by-step explanation:

  • Parallel lines have the same slopes and different y-intercepts
  • The slope of any vertical line is undefined
  • The equation of any vertical line is x = a, where a is the x-coordinate of a point that lies on the line
  • All x-coordinates of the points lie on a vertical line equal

Let us solve the question

∵ The line is parallel to the y-axis

∵ The y-axis is a vertical line

→ By using the second note above

∴ The slope of the y-axis is undefined

→ By using the first note above

∴ The slope of the line is undefined

→ By using the third note above

∵ The equation of the vertical line is x = a

∵ a is the x-coordinate of a point on the line

∵ The line passes through the point (9, -1)

∴ a = 9

∴ The equation of the line is x = 9

Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. IDNLearn.com has the solutions to your questions. Thanks for stopping by, and see you next time for more reliable information.