No
If the slope of a given line is x, than the slope of the line perpendicular to the first line is 1/-x. So if the first slope is negative, the second will be positive, and vice versa.
one slope is the negative reciprocal of the other
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.
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.
The product of the slopes of two perpendicular lines is always -1. If one line has a slope of ( m_1 ) and the other has a slope of ( m_2 ), the relationship can be expressed as ( m_1 \cdot m_2 = -1 ). This means that if you know the slope of one line, you can find the slope of the perpendicular line by taking the negative reciprocal of that slope.
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.)
one slope is the negative reciprocal of the other
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.
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.
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.
No but if the two lines are parallel then they will have the same slope.
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.)
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
Positive 3
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.
If the lines are perpendicular, their slopes are negative reciprocals.If the lines are perpendicular, their slopes are negative reciprocals.If the lines are perpendicular, their slopes are negative reciprocals.If the lines are perpendicular, their slopes are negative reciprocals.
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.
Two lines with the same slope are parallel.