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How can you prove that a constructed line is parallel to a given line Assume that the transversal line is not perpendicular to the other lines?
If the lines have the same slope but with different y intercepts then they are parallel
What is the slope of perpendicular lines?
The slope of a perpendicular line is not defined.
If two lines are perpendicular do the have the same slope?
No but if the two lines are parallel then they will have the same slope.
What is the slope relationship of perpendicular lines?
They are negative reciprocals. So if the slope of a line is x, the slope of the perpendicular line is -1/x
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
Do perpendicular lines have the same exact slope?
No, parallel lines have exactly same slope Perpendicular line have a slope that is negative reciprocal of each other that is if m = slope of line then slope of perpendicular line is -1/m
Does perpendicular lines have the same slope?
No, lines have the same slope if and only if they are parallel to each other.
How can you prove that a constructed line is parallel to a given line Assume that the transversal line is not perpendicular to the other lines?
If the lines have the same slope but with different y intercepts then they are parallel
What is the slope of perpendicular lines?
The slope of a perpendicular line is not defined.
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.
If two lines are perpendicular they have the same slope.?
This statement is incorrect. If two lines are perpendicular, their slopes are negative reciprocals of each other. This means that if one line has a slope of ( m ), the other line will have a slope of ( -\frac{1}{m} ). Thus, perpendicular lines intersect at right angles, rather than having the same slope.
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.
Do Perpendicular lines have opposite sign and reciprocal slopes of each other?
Yes, perpendicular lines have slopes that are negative reciprocals of each other. This means that if one line has a slope of ( m ), the slope of the line perpendicular to it will be ( -\frac{1}{m} ). For example, if one line's slope is 2, the perpendicular line's slope would be -0.5. This relationship ensures that the lines intersect at right angles.
If two lines are perpendicular what is their slopes?
If two lines are perpendicular, the slope of one line is the negative reciprocal of the slope of the other line. This means that if one line has a slope of ( m ), the other line's slope will be ( -\frac{1}{m} ). For example, if one line has a slope of 2, the slope of the perpendicular line will be -(\frac{1}{2}). This relationship ensures that the two lines intersect at a right angle.
How is it determined whether the lines passing through some specified points are parallel perpendicular or neither?
The straight line equation is y = mx + b. If they do not cross and have the same slope they are parallel; if they cross and the slope (m) of one of them is the negative inverse slope of the other (-1/m) they are perpendicular. Otherwise they are neither
Two lines that are perpendicular to each other?
Perpendicular lines have slopes that the inverse of each other. If one line has a slope of 1/3, the other has a slop of 3/1
