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Mathematics 21 Online
OpenStudy (anonymous):

if two lines can have the same slope they cannot cross it is true right?

OpenStudy (anonymous):

true

OpenStudy (solomonzelman):

True if 2 lines have the same slope that means they are PARALLEL.

OpenStudy (anonymous):

false. Consider the two lines x + y = 1 and 2x + 2y = 2 the two line have the same slope and also cross. As the matter of fact, they cross each other infinitely many times. How if you meant cross that mas an X then yes. But this is more like a convention, not definition

OpenStudy (anonymous):

no those lines r parralel

OpenStudy (solomonzelman):

@xxferrocixx, you do know that parallel lines can never intersect, and that if 2 lines have the same slope they are parallel, RIGHT?

OpenStudy (anonymous):

totally agree impossible for two lines with congruent slopes to intersect

OpenStudy (anonymous):

@SolomonZelman, In mathematics, you can not assume anything else beside the hypothesis. The statement is: "if two lines can have the same slope they cannot cross" I have showed that two lines have a same slope AND cross (example above) However, if the statement is: "If two lines are parallel, then they don't intersect", then yes, it's true. Because this is the definition of parallel lines

OpenStudy (solomonzelman):

@jim_thompson5910 , @hartnn , @phi, I hope I am not that stupid, I am positive I am right, can you verify that?

OpenStudy (anonymous):

@SolomonZelman pretty sure u r right

OpenStudy (anonymous):

For now, I will say the statement is true, simply because I assume two lines can not on top of each other.

OpenStudy (solomonzelman):

If 2 lines have same slope can they intersect? the question wasn't talking about 3D or anything like this, just regular slopes and lines....

OpenStudy (anonymous):

no they can't a postulate specifically states they can't i passed geometry in the eigth grade already now im in algebra 2

OpenStudy (anonymous):

@SolomonZelman, i'm not saying you're wrong. This depends on what level of math the question is meant to be. Since it's just algebra 2, the statement is true.

OpenStudy (phi):

It depends what you mean by "cross" in math we say "intersect". two lines with the same slope could be the *same* line, in which case they lay on top of each other and intersect at an infinite number of points. Unless the questioner defines what they mean by "cross", it is a lousy question.

OpenStudy (anonymous):

yay moderators always there to help woot woot

OpenStudy (anonymous):

@phi, exactly. This question is actually ambiguous, but somehow I felt like I have made it too complicated. I will go with the convention that crossing is like an X, not on top of each other

OpenStudy (solomonzelman):

I thought that the asker would generally mean this by that question. (Not saying that line on top of each other, or anything like that.)

OpenStudy (anonymous):

i am a child so i don't use those big words like u guys 0.0

OpenStudy (solomonzelman):

Child, how old are you, can you tell me? (I'm 16; to be even.)

OpenStudy (anonymous):

haha fourteen

OpenStudy (phi):

In this problem, I would assume they mean two different parallel lines... in which case they will not intersect (meet or cross)

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