Answered

At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Explore a wealth of knowledge from professionals across different disciplines on our comprehensive platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

Points C open parentheses negative 5 comma 8 close parentheses and D open parentheses 2 comma 5 close parentheses lie on line C D. If points C apostrophe and D apostrophe are created by translating points C and D left 6 units, what is the slope of line C apostrophe D apostrophe ?

Sagot :

facundo3141592

We want to find the slope of the line that connects points C' and D'. We will find that the slope is -3/7.

First, we start with the points:

  • C = (-5, 8)
  • D = (2, 5)

Now we create points C' and D' by translating points C and D to the left by 6 units, this means that we need to subtract 6 in the x-value of each point, so we will have:

  • C' = (-5, 8) + (-6, 0) = (-5 - 6, 8) = (-11, 8)
  • D' = (2, 5) + (-6, 0) = (2 - 6, 5) = (-4, 5)

And we know that if a line passes through points (x₁, y₁) and (x₂, y₂) the slope is given by:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Then the slope that connects points C' and D' is:

[tex]a = \frac{5 - 8}{2 - (-5)} = \frac{-3}{7}[/tex]

If you want to learn more, you can read:

https://brainly.com/question/2263981

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.