Question

PLEASE HELP

19. The x-coordinate is zero and the y-coordinate is negative. Is the point in Quadrant III?
Explain.

20. The y-coordinate is zero and the x-coordinate is negative. Is the point in Quadrant II?
Explain.

Answer 1

The point with an x-coordinate of zero and a negative y-coordinate is not in Quadrant III but on the border between Quadrants III and IV. Similarly, a point with a y-coordinate of zero and a negative x-coordinate is not in Quadrant II but between Quadrants II and III.

Step-by-step explanation:

For question 19, if the x-coordinate is zero and the y-coordinate is negative, the point is located on the y-axis below the origin. This is not in Quadrant III, rather it lies between Quadrants III and IV, where x = 0. In Quadrant III, both x and y coordinates are negative, not just the y-coordinate.

For question 20, if the y-coordinate is zero and the x-coordinate is negative, the point is on the x-axis to the left of the origin. This point is not in Quadrant II, but between Quadrants II and III because in Quadrant II, x is negative but y must also be positive.

Answer 2

Question 19

Answer: No, it is not in quadrant 3.

Step-by-step explanation:

In order to be in quadrant 3, we need two things

• x must be negative
• y must be negative

An example point in the third quadrant is (-9, -12).

Both (x,y) coordinates must be negative to be located in quadrant 3. This is the southwest quadrant on the xy grid. We're told that x = 0 which means we are not in quadrant 3. Points on the x or y axis are not part of any quadrant. They are on the boundaries between quadrants (think of it like a fence or a wall).

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Question 20

Answer: No, it is not in quadrant 2

Step-by-step explanation:

We use a very similar idea as the previous question. Since y = 0, this point is on a boundary and not in any quadrant. To be in the second quadrant, we need these two conditions to be true:

• x must be negative
• y must be positive

For example, the point (-5, 7) is in quadrant 2. This quadrant is in the northwest on the xy grid.