Question
upstudy study bank question image url

If \( (14,25) \) and \( (9,-10) \) are two anchor points on a trend line, then find the equation of the line. \( y=[?] x-\square \)

Ask by Guzman Garrett. in the United States
Mar 14,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The equation of the line is \( y = 7x - 73 \).

Solution

Sign in to Unlock Answers for Free!

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

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

Extra Insights

To find the equation of the line passing through the points \( (14,25) \) and \( (9,-10) \), we first calculate the slope (\( m \)) using the formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Substituting the coordinates: \[ m = \frac{-10 - 25}{9 - 14} = \frac{-35}{-5} = 7 \] Now, using the point-slope form \( y - y_1 = m(x - x_1) \) with one of the points, say \( (14, 25) \): \[ y - 25 = 7(x - 14) \] Simplifying this: \[ y - 25 = 7x - 98 \] \[ y = 7x - 73 \] So the equation of the line is: \[ y = 7x - 73 \]

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