When are two distinct nonvertical lines parallel?
a)

when the slopes are equal


b)

when the slopes are positive


c)

when the product of the slopes is –1


d)

when the slopes are opposite

Respuesta :

Answer:

a)  when the slopes are equal

Step-by-step explanation:

The slopes of lines can be used to define the nature of lines.

Two parallel lines have equal slopes and the product of slopes of perpendicular lines is -1.

Hence, we can conclude that two distinct non-vertical lines parallel when

a)  when the slopes are equal ..

So, option a is correct ..

Answer: Option a.

Step-by-step explanation:

By definition:

- Two lines are parallel if they have the same slope.

- Vertical lines are parallel.

- The slope of any Vertical line is undefined.

- A Non-vertical line has a defined slope.

Therefore, based on this, we can make the following conclusion is: Two distinct nonvertical lines are parallel when the slopes are equal.

Then, the correct answer is Option a.