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If two lines are perpendicular?
one slope is the negative reciprocal of the other
What kind of slopes do perpendicular slopes have?
Negative reciprocals. That is, if one line has slope m (m ≠0), then the perpendicular to it has slope -1/m. If m = 0, the slope of the perpendicular is not defined - the line is of the form x = k.
If there are two lines that are perpendicular and one of the two slopes is negative one third then what is the slope of the other line?
Positive 3
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.)
Why product of slopes of perpendicular lines is -1?
Because one slope is positive while the other slope is a negative reciprocal of it. For example: 2*-1/2 = -1
If one slope is -1 what is the slope of the perpendicular slope?
The slope of the perpendicular is the negative reciprocal of the slope of a line. In this case, - (1 / -1) = 1.The slope of the perpendicular is the negative reciprocal of the slope of a line. In this case, - (1 / -1) = 1.The slope of the perpendicular is the negative reciprocal of the slope of a line. In this case, - (1 / -1) = 1.The slope of the perpendicular is the negative reciprocal of the slope of a line. In this case, - (1 / -1) = 1.
If two lines are perpendicular?
one slope is the negative reciprocal of the other
What kind of slopes do perpendicular slopes have?
Negative reciprocals. That is, if one line has slope m (m ≠0), then the perpendicular to it has slope -1/m. If m = 0, the slope of the perpendicular is not defined - the line is of the form x = k.
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.
What is the slope of a line that is perpendicular to it?
The slope of a line perpendicular to one with a slope of m is -1/m.
If there are two lines that are perpendicular and one of the two slopes is negative one third then what is the slope of the other line?
Positive 3
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.)
Are two lines with different slopes perpendicular?
Only by coincidence. Two lines on a graph are perpendicular if and only if one slope is the negative reciprocal of the other: meaning that if one line has a slope of 3/2, the other would have to have a gradient of -2/3.
Which formula is correct for the slopes of perpendicular lines?
if slope is given as m then perpendicular slope is -1/m (negative inverse)
Why product of slopes of perpendicular lines is -1?
Because one slope is positive while the other slope is a negative reciprocal of it. For example: 2*-1/2 = -1
If two lines are perpendicular what do you know about their slopes?
one is the negative reciprocal of the other; that is if the slope of one line is 2, the other is -1/2
What line is perpendicular to y equals -8x plus 6?
Any line whose slope is the negative reciprocal of that line's slope will be perpendicular to it. Given the format in which it's written, we can see that this line's slope is -8. This means that any line with a slope of 1/8 will be perpendicular to it. The most obvious one being: y = x/8 + 6 But there are an infinite number of lines with that slope, and thus an infinite number of lines that are perpendicular to the given one. For example, the line: y = x/8 + 258734095874390587423 is just as valid an answer.
