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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.
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
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.
Which is the slope of a line parallel to the line 5X-4y equals 9?
To answer this question we need to first get the slope of the line 5x-4y=9 by rearranging it in the form of y=mx+b: 5x-4y=9 4y=5x-9 y=(5/4)x-9/4 Since the slope of parallel lines are negative reciprocals of each other, the negative reciprocal of 5/4 is -4/5, therefore the slope of a line parallel to the line 5x-4y=9 is -4/5
How do you know if two line segments are perpendicular?
their slopes are negative reciprocals.
What are two line slopes that are negative reciprocals are?
Two lines have slopes that are negative reciprocals if the product of their slopes equals -1. For example, if one line has a slope of 2, the negative reciprocal would be -1/2. This means that if one line rises 2 units for every 1 unit it runs, the other line falls 1 unit for every 2 units it runs, creating perpendicular lines.
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.
If the slopes of two lines are negative reciprocals the lines are perpendicular?
Yes, if the slopes of two lines are negative reciprocals of each other, then the lines are perpendicular. This means that if the slope of one line is ( m ), the slope of the other line must be ( -\frac{1}{m} ). For example, if one line has a slope of -2, the other line must have a slope of (\frac{1}{2}) for the lines to intersect at a right angle. This relationship holds true in a Cartesian coordinate system.
How does negative reciprocal apply to the concept of determining perpendicular lines?
The concept of negative reciprocals is essential in determining perpendicular lines in a Cartesian coordinate system. If two lines are perpendicular, the slopes of those lines are negative reciprocals of each other. This means that if one line has a slope of ( m ), the slope of the line perpendicular to it will be ( -\frac{1}{m} ). For example, if one line has a slope of 2, the slope of the line perpendicular to it will be -0.5.
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.
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 prove a right angle using coordinate geometry?
Right angles are created by perpendicular lines. You first have to find the slopes of the lines. You know lines are perpendicular when the slopes are negative reciprocals. For example: If you find the slope of Line AB to be -2, in order for the lines to form right angles, the following line would have to be 1/2. So getting back to your question, calculate the slopes and show they are negative reciprocals. Hope I Helped!
Do Perpendicular lines have opposite sign and reciprocal slopes of each other?
Yes, perpendicular lines have slopes that are negative reciprocals of each other. This means that if one line has a slope of ( m ), the slope of the line perpendicular to it will be ( -\frac{1}{m} ). For example, if one line's slope is 2, the perpendicular line's slope would be -0.5. This relationship ensures that the lines intersect at right angles.
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 must be true about the slopes of two perpendicular lines neither of which is verical?
For two non-vertical lines to be perpendicular, the product of their slopes must equal -1. This means that if the slope of one line is ( m_1 ), then the slope of the other line, ( m_2 ), must satisfy the equation ( m_1 \times m_2 = -1 ). Therefore, the slopes are negative reciprocals of each other. For example, if one line has a slope of ( 2 ), the other must have a slope of ( -\frac{1}{2} ).
Waits a perpendiclar line?
A perpendicular line is one that intersects another line at a right angle, which is 90 degrees. In a coordinate plane, if two lines have slopes that are negative reciprocals of each other (i.e., the product of their slopes equals -1), they are perpendicular. For example, if one line has a slope of 2, a line perpendicular to it would have a slope of -1/2. This concept is fundamental in geometry and is used in various applications, including construction and design.
