Chriscoop22idn
Answered

Ask questions, share knowledge, and connect with a vibrant community on IDNLearn.com. Our platform is designed to provide accurate and comprehensive answers to any questions you may have.

(1) Is the slope of the line having y=5 as its equation zero or undefined?

(2) is the slope of the line having x=-4 as it’s equation zero or undefined?

Answer choices: (A)the slope is neither zero or undefined. (B) the slope is undefined. (C) the slope is zero

Sagot :

Ashraf82idn

Answer:

(1) The slope of the line having y = 5 as its equation is zero ⇒ (C)

(2) The slope of the line having x = -4 as its equation is undefined ⇒ (B)

Step-by-step explanation:

  • The line is a horizontal line if the y-coordinates of all points lie on it have the same value
  • The equation of the horizontal line is y = b, b is the y-intercept (0, b)
  • The slope of the horizontal line is zero

  • The line is a vertical line if the x-coordinates of all points lie on it have the same value
  • The equation of the vertical line is x = a, a is the x-intercept (a, 0)
  • The slope of the vertical line is undefined

Let us use the rules above to solve the question

(1)

∵ The equation of the line is y = 5

→ That means the line is horizontal

∴ The line is a horizontal line

∵ The slope of the horizontal line = zero

∴ The slope of the line having y = 5 as its equation is zero

(2)

∵ The equation of the line is x = -4

→ That means the line is vertical

∴ The line is a vertical line

∵ The slope of the vertical line is undefined

∴ The slope of the line having x = -4 as its equation is undefined

Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! IDNLearn.com has the solutions to your questions. Thanks for stopping by, and see you next time for more reliable information.