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Where would the points (−3,0) and (3,5) be on the coordinate plane?

A. Quadrant I
B. Quadrant II
C. Quadrant III
D. Quadrant IV

1 Answer

4 votes

Final answer:

The point (-3,0) is situated on the x-axis to the left and thus near Quadrant II, while the point (3,5) is located in Quadrant I of the coordinate plane.

Step-by-step explanation:

The points (-3,0) and (3,5) are located on the coordinate plane. The point (-3,0) has a negative x-coordinate and a y-coordinate of zero, which places it on the x-axis to the left side of the coordinate system, which is typically referred to as the negative direction or specifically horizontally to the left side of the coordinate system.

Since it is on the axis and not within any of the quadrants, it is not typically attributed to a specific quadrant. However, if we had to refer to the nearest quadrant, it's to the left of the y-axis and thus near Quadrant II.

On the other hand, the point (3,5) has a positive x-coordinate and a positive y-coordinate, which places it in Quadrant I. Quadrant I is the upper right section of the coordinate plane where both x and y values are positive, and it's described as vertically upward in the coordinate system and to the right, or horizontally to the right side of the coordinate system. So, the correct answer to the student's question is that the point (3,5) is in Quadrant I, while the point (-3,0) sits on the axis adjacent to Quadrant II.

User Dean J
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