Subjects algebra

Quadrant Signs 1D8322

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1. **Problem:** Explain the 4 quadrants and how they relate to positive and negative values. 2. **Formula / rule:** A point $\left(x,y\right)$ on the coordinate plane is classified by the signs of $x$ and $y$. 3. **Quadrant rules:** - **Quadrant I:** $x>0$ and $y>0$ - **Quadrant II:** $x<0$ and $y>0$ - **Quadrant III:** $x<0$ and $y<0$ - **Quadrant IV:** $x>0$ and $y<0$ 4. **Easy memory trick:** - Right side of the graph means $x$ is positive. - Left side of the graph means $x$ is negative. - Above the $x$-axis means $y$ is positive. - Below the $x$-axis means $y$ is negative. 5. **So the signs go like this:** - Quadrant I: positive, positive - Quadrant II: negative, positive - Quadrant III: negative, negative - Quadrant IV: positive, negative 6. **Final answer:** The 4 quadrants are labeled by sign patterns: I $\left(+,+\right)$, II $\left(-,+\right)$, III $\left(-,-\right)$, and IV $\left(+,-\right)$.