intersección con el eje y
/inteɾseɡθjon kon el exe i/from spelling rules
In Spanish, the English phrase "y intercept" is intersección con el eje y.
This phrase refers to the point where a graph crosses the vertical axis of a coordinate system. In many Spanish-speaking mathematical contexts, the term ordenada al origen is used as a standard synonym for the y-intercept.
What does it mean word for word?
The phrase intersección con el eje y is composed of intersección (intersection), con (with), el eje (the axis) and y (y).
Which one should you use?
Punto de Corte con el Eje Y translates to "point of intersection with the Y-axis", while the more descriptive and informal Punto donde corta el eje Y means "point where it cuts the Y-axis". Another informal way to express this is Valor de Y cuando X vale cero, which means "value of Y when X equals zero".
How does it change in a sentence?
To express the plural "y-intercepts", change intersección to intersecciones to form intersecciones con el eje y.
Did you know?
- In Spanish mathematical terminology, the term ordenada refers to the y-coordinate. This is why the y-intercept is often called ordenada al origen, literally the 'ordinate at the origin'.
- The word eje first appeared in written Spanish in the 13th century, long before the Cartesian coordinate system was developed by René Descartes in the 17th century.
- While intersección is used for the point of contact, Spanish speakers often use the verb cortar, meaning 'to cut', to describe a graph crossing an axis.
Examples in context
- La ecuación de la recta es y = mx + b, donde el punto de corte con el eje Y es b.The equation of the line is y = mx + b, where the point of intersection with the Y-axis is b.
- El valor de Y cuando X es igual a cero se conoce como la coordenada Y para el intercepto con el eje Y.The value of Y when X is equal to zero is known as the Y coordinate for the Y intercept.
- La línea recta en el gráfico atraviesa el eje Y en el punto (0, 4).The straight line on the graph intersects the Y-axis at the point (0, 4).
- La intersección con el eje y es cinco.The y intercept is five.
- Calcula la intersección con el eje y de la función.Calculate the y intercept of the function.
- Necesito hallar la intersección con el eje y rápidamente.I need to find the y intercept quickly.
Example conversation
Mateo and Elena are studying mathematics in a library.
- Mateo¿Sabes cuál es la intersección con el eje y?Do you know what the y intercept is?
- ElenaSí, Mateo, es el punto donde la línea cruza.Yes, Mateo, it is the point where the line crosses.
- Mateo¡Entiendo! Gracias por la ayuda, Elena.I see! Thanks for the help, Elena.
- ElenaDe nada, podemos seguir practicando.You're welcome, we can keep practicing.
Sources
- IPA marked “from spelling rules” is derived from standard Spanish spelling, where Wiktionary gives none.
- Word origins: Wiktionary entries con, eje, el, intersección, y, CC BY-SA 4.0.