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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.
