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When two lines are parallel, they have the same slope. For example:
y=5x-3 and
y=5x+9
These lines are parallel, because they have the same slope.
When two lines are perpendicular they have negative reciprocal slopes. For example:
y=2x-6 and
y=-1/2x+2
These lines are parallel, because they have negative or opposite reciprocal slopes.
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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 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.
What is the product of the slopes when the x axis and y axis are perpendicular?
The slope of the x-axis is 0 and the y-axis does not have a slope. For all pairs of perpendicular lines, other than those parallel to the axes, the product of their slopes is -1.
Is y equals 3x plus 1 and y equals 3x - 7 perpendicular?
No. they are parallel, since the slopes are both equal in this case 3. To be perpendicular the product of the slopes of both lines is equal to -1 (i.e., m1*m2 = -1).
Are 3x-4y equals -5 and 8x plus 6y equals -5 parallel or perpendicular lines?
They are perpendicular lines because the slopes are 3/4 and -4/3 respectively.
