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Question
27/84 what quadrant is the ordered pair (-8, -9) ii iii i iv
Step1: Recall Quadrant Rules
In the coordinate plane, quadrants are defined by the signs of the \(x\)- and \(y\)-coordinates:
- Quadrant I: \(x>0\), \(y>0\)
- Quadrant II: \(x<0\), \(y>0\)
- Quadrant III: \(x<0\), \(y<0\)
- Quadrant IV: \(x>0\), \(y<0\)
Step2: Analyze the Ordered Pair
The ordered pair is \((-8, -9)\). Here, the \(x\)-coordinate (\(-8\)) is negative, and the \(y\)-coordinate (\(-9\)) is also negative.
Step3: Match to Quadrant
From the quadrant rules, when both \(x\) and \(y\) are negative, the point lies in Quadrant III.
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III (or the option labeled "III" among the choices)