Respuesta :
Yes. Every line has an infinite number of lines that are parallel to it. I do believe this is true since each plane extends forever in every direction.
Answer:
Yes
Step-by-step explanation:
If you have a line, for example:
[tex]y=m_{1}x+b_{1}[/tex]
where [tex]m_{1}[/tex] is the slope and [tex]b_{1}[/tex] is the point where that line crosses the y axis calles the y-intercept.
And another line parallel to the first line:
[tex]y=m_{2}x+b_{2}[/tex]
the slopes of both lines must meet the following condition
[tex]m_{1}*m_{2}=-1[/tex]
so as we can see we have a condition for the slope of a parallel line, but we dont have a condition or restriction for the y-intercept of the parallel line, so [tex]b_{2}[/tex] can have any value (an infinite number of values)
which means that there are an infinite number of parallel lines for any straight line.
