The real number line includes negative numbers, 0, and positive numbers. I also know that the x-axis and y-axis include the same. It is logical to say that the x-axis and y-axis are both real number lines that meet at the origin?

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- Feb 11th 2019, 03:20 AMharpazoReal Number Line and xy-Plane
The real number line includes negative numbers, 0, and positive numbers. I also know that the x-axis and y-axis include the same. It is logical to say that the x-axis and y-axis are both real number lines that meet at the origin?

- Feb 11th 2019, 03:33 AMHallsofIvyRe: Real Number Line and xy-Plane
Yes, that is true. Even more, they form four right angles where they intersect and "right angles", or angles in general, cannot be defined in only one dimension. A Cartesian coordinate system, with x and y axes, can only be constructed in $\displaystyle R^2$ which is two dimensional.

- Feb 12th 2019, 05:25 AMharpazoRe: Real Number Line and xy-Plane
- Feb 12th 2019, 06:40 AMPlatoRe: Real Number Line and xy-Plane
- Feb 12th 2019, 07:27 AMharpazoRe: Real Number Line and xy-Plane