Question
upstudy study bank question image url

Both sides of an equation have linear expressions. The graph of one line has a positive slope. The graph of the other line has a negative slope. What are the possible number of intersections for this system? \( 0 \quad 0 \) \( \square 1 \) \( \square \) infinite Domer

Ask by Flynn Barrett. in the United States
Feb 26,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

There is exactly 1 intersection point.

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

When you have two linear equations where one line has a positive slope and the other has a negative slope, they will always intersect at exactly one point. This is because one line is consistently rising while the other is consistently falling, creating a scenario where they must cross each other at some x-value. If you were to graph these lines, you’d see that they form an "X" shape. This is a beautiful visual representation of how solutions can exist in a simple linear system! So, the answer to your question regarding the possible number of intersections is definitely 1.

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