Question

are the points (-3, 2) and (-18, 7) in the same quadrant? how can you tell?

Explanation:

Step1: Recall quadrant rules

In a coordinate plane, a point \((x, y)\) is in:

• 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 \((-3, 2)\)

For point \((-3, 2)\), \(x = -3 < 0\) and \(y = 2 > 0\). So it lies in Quadrant II.

Step3: Analyze \((-18, 7)\)

For point \((-18, 7)\), \(x = -18 < 0\) and \(y = 7 > 0\). So it also lies in Quadrant II.

Answer:

Yes, the points \((-3, 2)\) and \((-18, 7)\) are in the same quadrant (Quadrant II) because both have a negative \(x\)-coordinate and a positive \(y\)-coordinate, which is the characteristic of points in Quadrant II.