Question

why can you not say that two vertical lines have equal slope? why can you not say that the product of the slopes of a vertical and horizontal line is - 1?
why can you not say that two vertical lines have equal slope?
a. vertical lines have undefined slope, and an undefined object has no value. two undefined quantities cannot be equal because they have no value.
b. every vertical line passes through the origin. this means that the slope between two points cannot be calculated for a vertical line. because of this, the slopes of vertical lines cannot be compared.
c. vertical lines have zero slope. two quantities that are both zero cannot be equal to each other because their quotient is undefined.
d. vertical lines have infinite slope, and infinity is not a number. two infinite quantities cannot be equal because they have no value.

Explanation:

Breve explicación:

La pendiente de una línea vertical se calcula como $\frac{\Delta y}{\Delta x}$, donde $\Delta x = 0$ para una línea vertical. La división entre cero es indefinida, por lo que la pendiente de una línea vertical es indefinida. Un objeto indefinido no tiene un valor numérico, y dos cantidades indefinidas no pueden ser iguales porque carecen de valor.

Respuesta:

A. Vertical lines have undefined slope, and an undefined object has no value. Two undefined quantities cannot be equal because they have no value.

Answer:

Breve explicación:

La pendiente de una línea vertical se calcula como $\frac{\Delta y}{\Delta x}$, donde $\Delta x = 0$ para una línea vertical. La división entre cero es indefinida, por lo que la pendiente de una línea vertical es indefinida. Un objeto indefinido no tiene un valor numérico, y dos cantidades indefinidas no pueden ser iguales porque carecen de valor.

Respuesta:

A. Vertical lines have undefined slope, and an undefined object has no value. Two undefined quantities cannot be equal because they have no value.