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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
How can you determine if two lines are perpendicular?
If the angle formed between the intersecting lines are 90o then the two lines are perpendicular. In 2D coordinate geometry, a perpendicular line has a slope equal to the negative reciprocal of the original line.
Assume you have two lines which are perpendicular If one line has a slope of 3 what is the slope of the other line?
-(1/3)
Two lines are perpendicular If one line has a slope of 1 21 what is the slope of the other line?
The slope of a line and the perpendicular to that line, when multiplied together, give -1. So, if the first line has a slope of 1/21, the second has a slope of -21.
How do you find a slope of a line perpendicular?
If two nonvertical lines are perpendicular, then the product of their slope is -1.An equivalent way of stating this relationship is to say that one line is perpendicular to another line if its slope is the negative reciprocal of the slope of the other. For example, if a line has slope 3, any line having slope - 1/3 is perpendicular to it. Similarly, if a line has slope - 4/5, any line having the slope 5/4 is perpendicular to it.
Are two lines with the same slope and different y-intecept perpendicular?
Two lines with the same slope are parallel.
Two lines with the same slope and different y-intercepts are perpendicular?
No because two lines with the same slope but with different y intercepts are parallel lines. Perpendicular lines meet each other at right angles.
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.
Are two lines with the same slope and different y-intercept perpendiculars?
No because two lines with the same slope but with different y intercepts are parallel lines. Perpendicular lines meet each other at right angles.
How can we tell if two lines are parallel perpendicular or neither just from their equations?
If the slope of the equations are the same then they are parallel If the slope of the equations are minus reciprocal then they are perpendicular If the slope of the equations are different then they are neither
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.
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.
When is the product of the slope of two perpendicular lines not equal to -1?
When the lines are horizontal and vertical. (slope of zero) (undefined slope)
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
How do you know if two graphed lines are parallel or perpendicular?
if they are parallel they run side by side forever and will never cross. if they are perpendicular they will cross at a 90 degree angle. You can also tell just by looking at the equations for the lines if they are in the slope-intercept form (y = mx + b, where m is the slope and b is the y-intercept). When two lines are parallel, they have the same slope. When two lines are perpendicular, the slope of one is the negative reciprocal of the slope of other. For example, a line with a slope of 2 is perpendicular to a line with a slope of -½, and a line with a slope of 1 is perpendicular to a line with a slope of -1. (y = 1 and x = 1 are perpendicular because the slope of y = 1 is zero, the slope of x = 1 is infinity, the reciprocal of infinity is zero, and negative zero equals zero.)
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
If two lines are perpendicular what is the respective slopes equal to?
Given any line L, with slope m, the perpendicular line has slope -m.
