Question

question 9 of 25

which of the following is defined to be the point of intersection of the \\(x\\)- and \\(y\\)-axes?

a. an ordered pair
b. the origin
c. the \\(xy\\)-plane

Explanation:

Identify the definition of the intersection of the axes

The point where the horizontal \(x\)-axis and the vertical \(y\)-axis intersect in a Cartesian coordinate system is defined as the origin, represented by the coordinates \((0,0)\).

Evaluate the given options

• Option A: An ordered pair is any pair of numbers used to locate a point, not specifically the intersection of the axes.
• Option B: The origin is the specific name for the intersection point of the \(x\)- and \(y\)-axes.
• Option C: The \(xy\)-plane is the entire two-dimensional surface, not a single point.

Answer:

• A. An ordered pair
• B. The origin (Correct answer)
• C. The \(xy\)-plane