Question
upstudy study bank question image url

Find the slope of the line that passes through \( (2,19) \) and \( (10,10) \). Simplify your answer and write it as a proper fraction, improper fraction, or integer

Ask by Young Stanley. in the United States
Nov 08,2024

Real Tutor Solution

Tutor-Verified Answer

Answer

The slope is \(-\frac{9}{8}\).

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Reviewed and approved by the UpStudy tutoring team

The Deep Dive

To find the slope of the line that passes through the points \( (2,19) \) and \( (10,10) \), you can use the slope formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Here, \( (x_1, y_1) = (2, 19) \) and \( (x_2, y_2) = (10, 10) \). Plugging in the values: \[ m = \frac{10 - 19}{10 - 2} = \frac{-9}{8} \] The slope of the line is \( \frac{-9}{8} \). Now let's dive into some extra fun facts! Did you know that slopes are not just about lines? They can also represent rates of change in real-world scenarios! For example, if you're analyzing how a car's speed changes over time, the slope of a graph that plots distance against time indicates the car's velocity. And if you're tackling slope problems, a common mistake is forgetting to subtract the y-coordinates from each other in the correct order! Remember, the formula is all about the change in y over the change in x. Keeping your coordinates straight will help you avoid accidental errors!

Related Questions

Latest Pre Algebra Questions

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy