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How is it determined whether the lines passing through some specified points are parallel perpendicular or neither?
The straight line equation is y = mx + b. If they do not cross and have the same slope they are parallel; if they cross and the slope (m) of one of them is the negative inverse slope of the other (-1/m) they are perpendicular. Otherwise they are neither
How do you know if two non-vertical lines are perpendicular?
They are perpendicular if their slopes are mutual negative reciprocals.
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 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
What must be true about the slopes of two perpendicular lines neither of which is vertical?
In that case, the product of the slopes is equal to minus 1.
When is the product of the slopes of two perpendicular lines not equal to -1?
When the perpendicular lines are horizontal and vertical.
How is it determined whether the lines passing through some specified points are parallel perpendicular or neither?
The straight line equation is y = mx + b. If they do not cross and have the same slope they are parallel; if they cross and the slope (m) of one of them is the negative inverse slope of the other (-1/m) they are perpendicular. Otherwise they are neither
If two lines are parallel what do you know about their slopes?
If two lines are parallel, they have the same slope.(And if they are perpendicular, the product of their slopes is minus one - unless one line is horizontal and the other vertical.)
How many slopes do vertical lines have?
The slope of a vertical line is undefined. The slope of a horizontal line is 0. Hope this helps.
What is true about the slope of parallel lines?
The slopes will be the same. It is also possible that both parallel lines have no slope defined - if they are vertical.
How do slopes of perpendicular lines compare?
Slopes of perpendicular lines will be opposite reciprocals. This means that the slopes have opposite signs and that one is 1/ the other. For example, 2 and -1/2.
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.
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.
What is the definition of a slope of parallel lines?
Horizontal lines have a slope of zero, and the slope of vertical lines is undefined. Parallel lines have equal slopes, and perpendicular lines have slopes that are negative reciprocals of each other. So we can say that: Two nonvertical lines are parallel if and only if they have the same slope. Two lines are perpendicular if and only if their slopes are negative reciprocals of each other. That is, if the slopes are m1 and m2, then: m1 = - 1/m2 or (m1)(m2) = -1
What can you say about the slopes of two non-vertical perpendicular lines?
They are negative reciprocals Ex -1/2 and 2
If two lines are their slopes are negative reciprocals?
If the lines are perpendicular, their slopes are negative reciprocals.If the lines are perpendicular, their slopes are negative reciprocals.If the lines are perpendicular, their slopes are negative reciprocals.If the lines are perpendicular, their slopes are negative reciprocals.
