Question

what quadrant is point a in?
a.) i
b.) ii
c.) iii
d.) iv
(there is a coordinate plane image with points labeled a, b, r, p, j, m and also some circular icons labeled a, b, c, d and a dog image with a thought bubble saying were you paying attention?)

Explanation:

Step1: Recall Quadrant Rules

In a coordinate plane, quadrants are determined by the signs of \(x\) (horizontal) and \(y\) (vertical) 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 Point A's Coordinates

From the graph, point A has a positive \(x\)-coordinate (to the right of the origin) and a negative \(y\)-coordinate (below the origin).

Step3: Match to Quadrant

Since \(x>0\) and \(y<0\), point A lies in Quadrant IV (IV).

Answer:

d. IV