Question
upstudy study bank question image url

In which quadrant, if any, is the point \( \left(-\frac{4}{3}, \frac{19}{13}\right) \) located? Choose the correct answer below. A. Quadrant III B. Quadrant II C. Quadrant I D. Quadrant IV E. None; the point lies on the \( x \)-axis F. None; the point lies on the \( y \)-axis

Ask by Mcguire Medina. in the United States
Mar 14,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The point \( \left(-\frac{4}{3}, \frac{19}{13}\right) \) is in Quadrant II.

Solution

1. Given the point \( \left(-\frac{4}{3}, \frac{19}{13}\right) \): - The \( x \)-coordinate is \( -\frac{4}{3} \), which is negative. - The \( y \)-coordinate is \( \frac{19}{13} \), which is positive. 2. In the coordinate plane: - A negative \( x \)-coordinate and a positive \( y \)-coordinate indicate that the point is located in Quadrant II. 3. Therefore, the correct answer is: B. Quadrant II

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

The Deep Dive

The point \( \left(-\frac{4}{3}, \frac{19}{13}\right) \) has a negative x-coordinate and a positive y-coordinate. This combination places the point in Quadrant II, where x-values are negative, and y-values are positive. So the correct answer is B. Quadrant II. Having clarity on quadrants can help in various real-life situations, such as navigation. For example, if you're traveling in a city with a grid layout, understanding which quadrant you're in can guide you to your destination more efficiently. When placing points on a coordinate system, a common mistake is confusing the signs of x and y coordinates. Remember, Quadrant I has both coordinates positive, Quadrant II has a negative x and positive y, Quadrant III has both negative, and Quadrant IV has a positive x and negative y. Keeping this in mind can save a lot of frustration!

Related 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