Question

in which quadrant does a point lie if it has a positive x - coordinate and a negative y - coordinate?

-5 -4 -3 -2 -1 1 2 3 4 5 x
5
4
3
2
1
-1
-2
-3
-4
-5
y
•f
•p
•h
•c

quadrant iv
quadrant ii
quadrant i
quadrant iii

Explanation:

Step1: Recall quadrant rules

In a Cartesian - coordinate system, in Quadrant I, both x and y are positive ($x>0,y > 0$); in Quadrant II, x is negative and y is positive ($x<0,y>0$); in Quadrant III, both x and y are negative ($x < 0,y<0$); in Quadrant IV, x is positive and y is negative ($x>0,y < 0$).

Step2: Match given conditions

The point has a positive x - coordinate ($x>0$) and a negative y - coordinate ($y < 0$), which matches the conditions for Quadrant IV.

Answer:

A. Quadrant IV