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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.
When can one tell when lines are perpendicular or parallel?
It depends on what kind of line you are dealing with.If you have the lines on paper...If they do not intersect, they are parallel.If they do, measure the angle. If it is 90° then they are perpendicular.If you have the equations of the lines. If the slopes are the same, but they have a different y-intercept, they are parallel.if the slopes are inverse reciprocals of each other (i.e. 2 and -.5) then they are perpendicular.■
What does slopes of parallel and perpendicular mean?
When two lines are parallel, they have the same slope. For example:y=5x-3 andy=5x+9These lines are parallel, because they have the same slope.When two lines are perpendicular they have negative reciprocal slopes. For example:y=2x-6 andy=-1/2x+2These lines are parallel, because they have negative or opposite reciprocal slopes.
How do you graph parallel and perpendicular lines?
If you want to graph parallel lines, they need to have the same slope (Ex. 2x+2 and 2x+3)- parallel lines cannot have the same y-intercept because the two line would be the same. Perpendicular lines slopes need have to be opposite reciprocals (Ex. -2x+4 and +1/2x+3)- perpendicular lines can have the same y-intercepts, it doesn't make a difference.
Can you describe the relationship between the equations of two parallel lines?
Their slopes are equal; y-intercept can be anything.
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 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.
Do Perpendicular lines have opposite reciprocal slopes?
Actually it IS. perpendicular lines have opposite reciprocal slopes and parallel lines have the same slope.
When can one tell when lines are perpendicular or parallel?
It depends on what kind of line you are dealing with.If you have the lines on paper...If they do not intersect, they are parallel.If they do, measure the angle. If it is 90° then they are perpendicular.If you have the equations of the lines. If the slopes are the same, but they have a different y-intercept, they are parallel.if the slopes are inverse reciprocals of each other (i.e. 2 and -.5) then they are 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
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 5x 2y9 and 5x 2y2 parallel perpendicular or neither?
If they have the same slope, they are parallel. The slopes are the same, so yes they are parallel.
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.)
What does slopes of parallel and perpendicular mean?
When two lines are parallel, they have the same slope. For example:y=5x-3 andy=5x+9These lines are parallel, because they have the same slope.When two lines are perpendicular they have negative reciprocal slopes. For example:y=2x-6 andy=-1/2x+2These lines are parallel, because they have negative or opposite reciprocal slopes.
How do you graph parallel and perpendicular lines?
If you want to graph parallel lines, they need to have the same slope (Ex. 2x+2 and 2x+3)- parallel lines cannot have the same y-intercept because the two line would be the same. Perpendicular lines slopes need have to be opposite reciprocals (Ex. -2x+4 and +1/2x+3)- perpendicular lines can have the same y-intercepts, it doesn't make a difference.
How wold you classify two linear equations have the same y-intercept and different slopes?
Two linear equations (or lines) with the same y-intercept and different slopes are intersecting lines. They intersect at the y-intercept. If the slopes are negative reciprocals (ex: one slope is 3 and one slope it -1/3) then they are perpendicular lines.
Can you describe the relationship between the equations of two parallel lines?
Their slopes are equal; y-intercept can be anything.
