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What else can I help you with?
Which lines or segments are parallel justify your answer with a theorem or postulate?
Parallel lines are parallel. Proof they have same slopes
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
Determine whether the graphs of the equations are parallelperpendicular or neither?
Base on the slope of two linear equations (form: y = mx+b, where slope is m): - If slopes are equal, the 2 graphs are parallel - If the product of two slopes equals to -1, the 2 graphs are perpendicular. If none of the above, then the 2 graphs are neither parallel nor 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
How do you determine if they are parallel perpendicular or neither?
That depends on the specific situation. You may want to measure angles (perpendicular lines are at a right angle, i.e., 90°). If you have equations for line, write them in the slope-intercept form. Parallel lines have the same slope. If lines are perpendicular, the product of their slopes is -1.
How can you use the slopes and y-intercepts to determine if two lines are parallel?
If the lines are straight and have the same slope they are parallel, no matter what the y intercept is
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.
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
Can you determine whether a system of two linear equations has one solution an infinite number of solutions or no solution by simply?
Yes, you can determine the nature of a system of two linear equations by analyzing their slopes and intercepts. If the lines represented by the equations have different slopes, the system has one solution (they intersect at a single point). If the lines have the same slope but different intercepts, there is no solution (the lines are parallel). If the lines have the same slope and the same intercept, there are infinitely many solutions (the lines coincide).
How do parallel and perpendicular slopes compare or their y intercept?
There is no relationship between the slopes of parallel or perpendicular lines and their y-intercepts.
How do you find the perimeter of a rectangle with only the slopes given?
You cannot. Given only the slopes, it is impossible to determine the distance between the parallel lines and so the lengths of the sides. Without that you cannot calculate the perimeter.
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.
Is -2y 5x plus 4 perpendicular or parallel?
To determine if the lines represented by the equations are perpendicular or parallel, we need to find their slopes. The equation -2y = 5x + 4 can be rewritten in slope-intercept form (y = mx + b) as y = -(\frac{5}{2})x - 2. If the slopes of two lines are equal, they are parallel; if the product of their slopes is -1, they are perpendicular. Since we only have the slope of the given line, we cannot determine its relationship to another line without additional information.
What is the word for equal slopes?
parallel
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.
