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How can you determine if two lines will intersect using the slope?
To determine if two lines will intersect using their slopes, compare the slopes of the two lines. If the slopes are different, the lines will intersect at one point. If the slopes are the same and the y-intercepts are different, the lines are parallel and will not intersect. If both the slopes and y-intercepts are the same, the lines are coincident and overlap entirely.
Have slopes that are the same?
same slopes = parallel lines
How do you calculate parallel and perpendicular lines in a given plane?
Take any two lines and look at their slopes. -- If the slopes are equal, then the lines are parallel. -- If the product of the slopes is -1, then the lines are perpendicular.
Can 2 parallel lines have different slopes?
No
What are two lines that have different slopes?
They are not parallel.
How do you use the slopes and y-intercepts to determine if two lines coincide or are parallel?
If the slopes are different the lines are neither - they intersect. They are parallel or coincident if the slopes are the same. Then, if the y-intercepts are the same they are coincident while if the y-intercepts are different, they are parallel.
What kinds of slopes do parallel lines have?
The slopes of parallel lines are by definition equal.
How are the slopes of parallel lines related?
The slopes of two parallel lines will be the same.
Have slopes that are the same?
same slopes = parallel lines
How do you calculate parallel and perpendicular lines in a given plane?
Take any two lines and look at their slopes. -- If the slopes are equal, then the lines are parallel. -- If the product of the slopes is -1, then the lines are perpendicular.
How do you determine if 2 lines are parallel perpendicular or neither?
Two lines are parallel if and only if they have the same slope. Two lines are perpendicular if the product of their slopes is -1. If neither of these conditions are met, the lines are nether parallel, or perpendicular.
If two lines have slopes that are negative reciprocals of each other then they are if they have slopes that are the same then they are?
negative reciprocal slopes ---> the lines are perpendicular equal slopes ---> the lines are parallel
What is the relationship between the slopes of two parallel lines?
Parallel lines have the same slope.
Are two lines with different slopes are parallel?
No, only lines that have the same slope can be parallel.
Which lines or segments are parallel justify your answer with a theorem or postulate?
Parallel lines are parallel. Proof they have same slopes
What kind of lines are they if both slopes are the same?
Parallel lines
Can 2 parallel lines have different slopes?
No
