Subjects algebra

Ordered Pairs Quadrants 4B7Ff3

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1. The problem asks for an example of an ordered pair in each quadrant and on each axis of the Cartesian coordinate plane. 2. Recall the coordinate plane is divided into four quadrants: - Quadrant I: both $x$ and $y$ are positive. - Quadrant II: $x$ is negative, $y$ is positive. - Quadrant III: both $x$ and $y$ are negative. - Quadrant IV: $x$ is positive, $y$ is negative. 3. Points on the axes have either $x=0$ or $y=0$: - On the $x$-axis: $y=0$. - On the $y$-axis: $x=0$. 4. Examples of ordered pairs: - Quadrant I: $(1,2)$ because $1>0$ and $2>0$. - Quadrant II: $(-3,4)$ because $-3<0$ and $4>0$. - Quadrant III: $(-2,-5)$ because $-2<0$ and $-5<0$. - Quadrant IV: $(4,-1)$ because $4>0$ and $-1<0$. - On the $x$-axis: $(5,0)$ because $y=0$. - On the $y$-axis: $(0,-3)$ because $x=0$. These ordered pairs represent points in each quadrant and on each axis as requested.