Question

in which quadrant or on what axis does the point d lie?
a. none, because the point is on the y - axis
b. quadrant ii
c. quadrant iii
d. quadrant i
e. quadrant iv
f. none, because the point is on the x - axis

Explanation:

Step1: Recall quadrant - axis rules

In a Cartesian - coordinate system, Quadrant I has positive x and positive y values, Quadrant II has negative x and positive y values, Quadrant III has negative x and negative y values, Quadrant IV has positive x and negative y values. Points on the x - axis have y = 0 and points on the y - axis have x = 0.

Step2: Analyze each option

We need to know the coordinates of point D to determine its location. But based on the rules:

• Option A: If x = 0, the point is on the y - axis.
• Option B: For a point in Quadrant II, x<0 and y > 0.
• Option C: For a point in Quadrant III, x<0 and y<0.
• Option D: For a point in Quadrant I, x>0 and y>0.
• Option E: For a point in Quadrant IV, x>0 and y<0.
• Option F: If y = 0, the point is on the x - axis. Without the coordinates of point D, we cannot give a definite answer. But we can analyze the general rules for each option.

Since we have no information about the coordinates of point D, we assume this is a question about understanding the general rules of quadrants and axes.

Answer:

We need the coordinates of point D to determine the correct option. Without that information, we cannot select a definite answer from A - F.