Question

1. place an x in the appropriate cell to identify the quadrant in which each point is located.

	quadrant i	quadrant ii	quadrant iii	quadrant iv
$(8, -1)$
$(-3, -6)$
$(3, 1)$
$(-2, 2)$
$(4, -7)$

Explanation:

Step1: Recall Quadrant Rules

In a coordinate plane, the quadrants are defined by the signs of the \(x\)-coordinate and \(y\)-coordinate:

• 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 \((-1, -8)\)

For \((-1, -8)\), \(x = - 1<0\) and \(y=-8 < 0\). So it is in Quadrant III.

Step3: Analyze \((8, -1)\)

For \((8, -1)\), \(x = 8>0\) and \(y=-1 < 0\). So it is in Quadrant IV.

Step4: Analyze \((-3, -6)\)

For \((-3, -6)\), \(x=-3 < 0\) and \(y = - 6<0\). So it is in Quadrant III.

Step5: Analyze \((3, 1)\)

For \((3, 1)\), \(x = 3>0\) and \(y = 1>0\). So it is in Quadrant I.

Step6: Analyze \((-2, 2)\)

For \((-2, 2)\), \(x=-2 < 0\) and \(y = 2>0\). So it is in Quadrant II.

Step7: Analyze \((4, -7)\)

For \((4, -7)\), \(x = 4>0\) and \(y=-7 < 0\). So it is in Quadrant IV.

Answer:

Point	Quadrant I	Quadrant II	Quadrant III	Quadrant IV
\((8, -1)\)				X
\((-3, -6)\)			X
\((3, 1)\)	X
\((-2, 2)\)		X
\((4, -7)\)				X