Math Problem Statement

What are the coordinates of the solution in Quadrant I? A.(−7,0)

B.(−1,6)

C.(1.5,12.25)

D.(3,10)

Solution

To identify the coordinates of the solution in Quadrant I, we need to recall that Quadrant I is the part of the coordinate plane where both xx- and yy-coordinates are positive. Therefore, any point located in this quadrant will have both x>0x > 0 and y>0y > 0.

Let's analyze the options:

  • A. (7,0)(-7, 0): This point is on the x-axis. Since the y-coordinate is 0 and not positive, it does not lie in Quadrant I.

  • B. (1,6)(-1, 6): This point is in Quadrant II because the x-coordinate is negative while the y-coordinate is positive.

  • C. (1.5,12.25)(1.5, 12.25): Both the x-coordinate and y-coordinate are positive, so this point lies in Quadrant I.

  • D. (3,10)(3, 10): Both the x-coordinate and y-coordinate are positive, so this point also lies in Quadrant I.

Therefore, the coordinates of the solution in Quadrant I are C. (1.5,12.25)(1.5, 12.25) and D. (3,10)(3, 10).

Would you like more details or further clarifications?

Here are some follow-up questions:

  1. What are the properties of each quadrant in the Cartesian plane?
  2. Can you explain how to determine whether a point lies in Quadrant I, II, III, or IV?
  3. How does the sign of the x- and y-coordinates affect the quadrant in which a point lies?
  4. What happens if either the x-coordinate or the y-coordinate is zero?
  5. Can you identify coordinates that would lie on the axes?

Tip: Remember that in Quadrant I, both coordinates are positive, which helps to immediately eliminate points that have any negative values.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Quadrants of the Cartesian Plane

Formulas

Quadrant identification: (x > 0, y > 0) for Quadrant I

Theorems

Properties of Cartesian Plane Quadrants

Suitable Grade Level

Grades 6-8