I am asked to plot points on a coordinate system and then state what quadrant they are in.
If I have a point such as (4,0), which is right on the line), what quadrant is that in?
What about (0, -8)? That one is right on the line also.
Thank you.
maybe positive x-axis and negative y-axis?
... or IV/I and III/IV
they are on the "boundries" between quadrants
so if this is on a test how would I answer one quadrant? What would be the correct answer?
To determine the quadrant of a point on a coordinate system, you need to understand the concept of quadrants and the signs of coordinates.
A coordinate system is divided into four quadrants, designated as Q1, Q2, Q3, and Q4. The x-axis (horizontal line) and y-axis (vertical line) intersect at the origin (0,0).
In Q1, both the x and y coordinates are positive.
In Q2, the x coordinate is negative, but the y coordinate is positive.
In Q3, both the x and y coordinates are negative.
In Q4, the x coordinate is positive, but the y coordinate is negative.
Now, let's analyze the given points:
1. (4,0): The x-coordinate is positive, but the y-coordinate is zero. Since the y-coordinate is zero, the point lies on the x-axis. Points on the x-axis do not belong to any quadrant since the y-coordinate is neither positive nor negative. Therefore, the point (4,0) does not fall into any specific quadrant.
2. (0, -8): The x-coordinate is zero, but the y-coordinate is negative. Since the x-coordinate is zero, the point lies on the y-axis. Points on the y-axis do not belong to any quadrant since the x-coordinate is neither positive nor negative. Therefore, the point (0, -8) does not fall into any specific quadrant either.
In summary, neither the point (4,0) nor the point (0,-8) falls into any particular quadrant because they lie on the axes rather than within the quadrants.