are the lines parallel or perpendicular?
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Parallel and perpendicular lines. If two non-vertical lines that are in the same plane has the same slope, then they are said to be parallel. Two parallel lines won't ever intersect. If two non-vertical lines in the same plane intersect at a right angle then they are said to be perpendicular.
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If two lines are perpendicular and neither one is vertical, then one of the lines has a positive slope, and the other has a negative slope. Also, the absolute values of their slopes are reciprocals.
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Perpendicular lines (Coordinate Geometry) When two lines are perpendicular, the slope of one is the negative reciprocal of the other. ... Note too that the lines to do not have to intersect to be perpendicular. In Fig 1, the two lines are perpendicular to each other even though they do not touch.
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If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect.
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Intersecting: The two lines are coplanar (meaning that they lie on the same plane) and intersect at a single point. Parallel: The two lines are coplanar but never intersect because they travel through different points, while their direction vectors are scalar multiples of one another.
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Correct answer: Two lines are perpendicular if and only if their slopes are negative reciprocals. To find the slope, we must put the equation into slope-intercept form, , where equals the slope of the line.
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['Horizontal Lines.', 'Vertical Lines.', 'Parallel Lines.', 'Perpendicular Lines.']
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Two non-vertical lines are perpendicular if the slope of one is the negative reciprocal of the slope of the other. If the slope of the first equation is 4, then the slope of the second equation will need to be for the lines to be perpendicular.
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Yes, for two lines to be perpendicular to each other, they must always intersect each other at 90 degrees. If they intersect each other at greater than or less than 90 degrees the lines aren't termed perpendicular.
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Two lines are perpendicular if and only if they form a right angle. Perpendicular lines (or segments) actually form four right angles, even if only one of the right angles is marked with a box.
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Perpendicular lines have slopes that are opposite reciprocals of each other. Therefore, the slope of the line is -2.
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Two lines are parallel if and only if their slopes are equal. ... In general, a line in the form y = mx + b has a slope equal to m. Thus, the slope of this line equals 4. Because the slope of this line is not the same as the slope of q, these lines will intersect somewhere.
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In other words, the slopes of parallel lines are equal. Note that two lines are parallel if their slopes are equal and they have different y-intercepts. In other words, perpendicular slopes are negative reciprocals of each other. Here is a quick review of the slope/intercept form of a line.
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Parallel & perpendicular lines from graph. The slopes of parallel lines are equal, and the slopes of perpendicular lines are opposite reciprocals.
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Parallel lines are two lines that are always the same distance apart and never touch. In order for two lines to be parallel, they must be drawn in the same plane, a perfectly flat surface like a wall or sheet of paper. ... Any line that has the same slope as the original will never intersect with it.
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If the slopes of two lines are negative reciprocals, the lines are perpendicular. since their slopes of 0 have undefined reciprocals.
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A. Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect. Perpendicular lines are lines that intersect at a right (90 degrees) angle.