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negative reciprocal slopes ---> the lines are perpendicular

equal slopes ---> the lines are parallel

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Q: If two lines have slopes that are negative reciprocals of each other then they are if they have slopes that are the same then they are?
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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


Line that have Slopes that have negative reciprocals are ---- to each other?

Those lines are perpendicular.Those lines are perpendicular.Those lines are perpendicular.Those lines are perpendicular.


What does it mean if two line segments are perpendicular to each other?

their slopes are negative reciprocals of each other. and they make a right angle when they intersect.


How do slopes of perpendicular lines compare?

Slopes of perpendicular lines will be opposite reciprocals. This means that the slopes have opposite signs and that one is 1/ the other. For example, 2 and -1/2.


Which of the following is perpendicular to 3x-y5?

3x - y = 5 is the equation of a nonvertical line. Definition: Two nonvertical lines are perpendicular if their slopes are negative reciprocals of each other. So we need to find the slope of the given line, and check which of the other lines have a slope that satisfies the definition. Solve for y. 3x - y = add y and subtract 5 to both sides 3x - 5 = y which yields the slope of 3 Thus, the line that have a slope of -1/3 is the required line.

Related questions

Lines that are perpindicular have slopes that are?

negative reciprocals of each other


If two lines are perpendicular?

one slope is the negative reciprocal of the other


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


Line that have Slopes that have negative reciprocals are ---- to each other?

Those lines are perpendicular.Those lines are perpendicular.Those lines are perpendicular.Those lines are perpendicular.


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 kind of slopes do perpendicular lines have?

The slopes of perpendicular lines are reciprocals of each other. For example. if one line had an equation like y= 2x+4 then the perpendicular's slope would be y=x/2+4 -- they are reciprocals of each other.


Is it possible for two lines with positive slopes to be perpendicular?

Is it possible for two lines with positive slopes to be perpendicular?


What does it mean if two line segments are perpendicular to each other?

their slopes are negative reciprocals of each other. and they make a right angle when they intersect.


How do slopes of perpendicular lines compare?

Slopes of perpendicular lines will be opposite reciprocals. This means that the slopes have opposite signs and that one is 1/ the other. For example, 2 and -1/2.


How does a perpendicular look?

Perpendicular lines are lines that cross one another at a 90° angle. They have slopes that are opposite reciprocals of one another. Perpendicular lines intersect each other.


What must be true about the slopes of 2 perpendicular lines?

The slopes of two perpendicular lines are negative inverses of each other. In other words, the two slopes when multiplied together equal -1.


How would you use the distance formula and the slope formula to prove that this figure is actually a rectangle?

You would first prove that 3 of the sides are the same size (The 4th is automatically the same size as the other three). Then, you would prove that there are three right angles in the shape, using the slopes (If lines make a right angle, they are perpendicular and their slopes are negative reciprocals of each other.).