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If two lines in a plane are perpendicular, then one of the following applies:1) Either one line is horizontal (slope zero) and the other is vertical (slope undefined),
2) Or the product of their slopes is equal to -1. For example, one line might have a slope of 2, and the other, -1/2.
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How does the slope between two parallel lines compare?
The slope between two parallel lines is identical. This is because parallel lines have the same slope and will never intersect. The slope of a line is a measure of its steepness, and when two lines are parallel, they will have the same steepness, resulting in the same slope. Therefore, the slope between two parallel lines will always be equal.
Does perpendicular lines have the same slope?
No, lines have the same slope if and only if they are parallel to each other.
For perpendicular lines if the slope of one line is -2 what is the slope of the line perpendicular to it?
For any two perpendicular lines (save a vertical and a horizontal one), the product of their slopes is always -1. For two perpendicular lines with one having a slope of -2, the other will have a slope equal to -1 divided by -2, which equals 1/2.
How do you use slope to determine if two lines are perpendicular?
You have to know the slopes of both lines. -- Take the two slopes. -- The lines are perpendicular if (one slope) = -1/(the other slope), or the product of the slopes equals to -1.
Do parallel lines have negative reciprocals?
The slope of parallel lines are the same, but the slope of perpendicular lines are negative reciprocals of each other.
