Without graphing, identify the quadrant in which the point (x, y) lies if x < 0 and y < 0.
A. II
B. IV
C. I
D. III
x<0 is left
y<0 is down
so down to the left = Third quadrant :)
To determine the quadrant in which the point (x, y) lies when x < 0 and y < 0, we can use the following guidelines:
- Quadrant I: x > 0, y > 0
- Quadrant II: x < 0, y > 0
- Quadrant III: x < 0, y < 0
- Quadrant IV: x > 0, y < 0
In this case, since x < 0 and y < 0, the point (x, y) will be located in Quadrant III.
Therefore, the correct answer is D. III.
To determine the quadrant in which the point (x, y) lies without graphing, we need to look at the signs of the coordinate values.
Given x < 0 and y < 0, we know that both x and y are negative.
In our coordinate system, the positive x-axis points to the right, and the positive y-axis points upward.
Based on the information that both x and y are negative, we can determine that the point (x, y) lies in the third quadrant (III).
Therefore, the correct answer is D. III.