If the coordinates of a point are (4, 3), what quadrant is it in?

Study for the HSC Mathematics Standard 2 Exam. Utilize flashcards and multiple choice questions, each with hints and explanations. Prepare confidently for your exam success!

To determine the quadrant in which the point (4, 3) is located, we can analyze the coordinates systematically. The first number in the coordinate pair, which is 4, refers to the x-coordinate, and the second number, which is 3, refers to the y-coordinate.

When the x-coordinate is positive and the y-coordinate is also positive, as is the case here with both values being greater than zero, the point falls in Quadrant I.

In Quadrant I, both x and y values are positive, which aligns perfectly with the given coordinates. This quadrant is typically characterized as the upper right section of the Cartesian plane.

Identifying the coordinates relative to the different quadrants is essential for understanding their respective characteristics:

  • Quadrant I: Positive x, positive y

  • Quadrant II: Negative x, positive y

  • Quadrant III: Negative x, negative y

  • Quadrant IV: Positive x, negative y

Since (4, 3) has both coordinates positive, it confirms the conclusion that the point is indeed in Quadrant I. Thus, the selected answer that identifies this point's quadrant accurately reflects its position on the Cartesian plane.

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