Question
upstudy study bank question image url

Question 4:
A straight line that passes through and . The equation of the line is

Ask by Schwartz French. in Australia
Jan 17,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The equation of the line is .

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

Beyond the Answer

To find the equation of the line passing through and , we start by calculating the slope using the formula . Here, and . Thus, .
With the slope known, we can use the point-slope form and plug in :
This simplifies to:
So the equation of the line is .

The world of line equations is not just for math enthusiasts; it’s a powerful tool in various fields! In architecture, for instance, understanding linear relationships can help design structures that are not only aesthetically pleasing but also structurally sound. How about putting those equations to use in planning your dream treehouse?
Ever tried graphing a line and accidentally mixed up your coordinates? It happens more often than you’d think! A common pitfall is not properly calculating the slope or misplacing the y-intercept. Always double-check your points before diving into slope calculations and remember—coordinate systems have your back, so don’t hesitate to use graph paper or digital tools to visualize!

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