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perpendicular lines are defined by the right angle created when they intersect, or 90 degrees...if f(x) = x, the slope is 45 degrees (or 1), so to create a line perpendicular, the slope would be negative. It would also make a 135 (90+45) degree angle so f(x) = -x would satisfy the right angle requirement. I also know that rational numbered slopes require not just a sign change, but a reciprocal so if g(x) = 1/2(x), gperpendicular(x) = -2x
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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.
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 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.)
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.
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 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
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
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 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.)
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)
Do Perpendicular lines have opposite reciprocal slopes?
Actually it IS. perpendicular lines have opposite reciprocal slopes and parallel lines have the same slope.
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.
Are two lines with the same slope and different y-intecept perpendicular?
Two lines with the same slope are parallel.
