what is the difference between parallel lines and intersecting lines?
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Intersecting linesIntersecting lines are lines that cross or meet at some point. ... ParallelTwo or more lines are parallel when they lie in the same plane and never intersect. These lines will always have the same slope.
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Parallel lines never cross. Parallel lines are always the same distance apart, which is referred to as being "equidistant". For our purposes, parallel lines will always be straight lines that go on indefinitely. ... A transversal is a line that intersects two or more lines in the same plane.
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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.
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As adjectives the difference between parallel and linear is that parallel is equally distant from one another at all points while linear is having the form of a line; straight.
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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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Intersection Between a Line and a Plane Case 1: The line L intersects the plane at exactly one point, P. Case 2: The line L does not intersect the plane and is parallel to the plane There are no points of intersection.
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These lines always intersect at right angles. If two lines are perpendicular to the same line, they are parallel to each other and will never intersect.
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In three-dimensional geometry, skew lines are two lines that do not intersect and are not parallel. ... Two lines that both lie in the same plane must either cross each other or be parallel, so skew lines can exist only in three or more dimensions. Two lines are skew if and only if they are not coplanar.
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The notation for parallel lines, , is read: "line AB is parallel to line CD." These lines will continue on forever without crossing. ... If two lines are cut by a transveral, pairs of angles between the two lines and on opposite sides of the transversal are called alternate interior angles.
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There are an infinite number of lines that are parallel to the x -axis, y=0. All horizontal lines have slope of 0. If lines are parallel then they have the same slope. The slope of a line parallel to the x -axis is 0.
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If the two equations describe parallel lines, and thus lines that do not intersect, the system is independent and inconsistent. If the two equations describe the same line, and thus lines that intersect an infinite number of times, the system is dependent and consistent.
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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. Try this Drag any orange dot at the points P or Q. ... Parallel lines remain the same distance apart over their entire length. No matter how far you extend them, they will never meet.
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In two dimensions, parallel lines have the same slope . We can write the equation of a line parallel to a given line if we know a point on the line and an equation of the given line. y=2x+3 .
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Correct answer: Two lines are parallel if and only if they have the same slope. To find the slope, we must put the equation into slope-intercept form, , where equals the slope of the line. First, we must subtract from each side of the equation, giving us . Next, we divide both sides by , giving us .
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Parallel Lines Two lines are parallel if the have the same slope. Example 1: Find the slope of the line parallel to the line 4x – 5y = 12. To find the slope of this line we need to get the line into slope-intercept form (y = mx + b), which means we need to solve for y: The slope of the line 4x – 5y = 12 is m = 4/5.
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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.