What are Parallel lines?
469114
Lines which lie in the same plane and never intersect.
765213
yes....infact...its easy tomake linear graphs be parallel\n\nlinear curves have the equation:\ny=mx+b\n\nfor a line to be parallel they need the same slope (m)\n\nso you can change your y-intercept (b) and those two lines will be parallel\n\nfor example y=2x+4 and y=2x-1000 are parallel because they have the same slope (m)\n\nhope this helps\nmatttlocke
922363
you mean parallel structure....\nwell um here is an example using party decoration:\n\nThe cake was frosted, the decorations were hung.
110363
If you put an equation in the form:\n\ny = m*x + b\n\nthen, \n\nm = the slope\nb = the y-intercept.\n\nIf you look for a parallel line that passes through a given point, then you keep the slope the same, and solve for the slope:\n\n5x-4y = 1   -->  y = 5/4x - 1/4\nthe family of all parallel lines is\ny = 5/4x + b  (for any value of b).\n\nFor a line passing through (-8, 2), plug the numbers in and solve for b:\n2 = 5/4*(-8) + b\nb = 12\n\nSo y = 5/4x+12 is a line with slope 5/4, passing through the point (-8,2).
190280
factors into (2x+1)(x-3). Zeros are -1/2, 3\n\nThe factors are binomials, ie, linear equations. Doesn't appear as if the union of two parallel lines will be a parabola .
837837
alternative angles you mean? It's kinda like the corners of the letter Z. The angles are equal. The bottom and top line is parallel. And both angles are at the opposite sides of the line.
935181
In all my years as a mathematician, I have never come across a symbol to denote "skew lines."  There may BE one, but I have never seen it.  Nor would it be a particularly helpful symbol, in my opinion, since "most" lines are skew...the symbols appear to be reserved for "special cases" (e.g. coplanar, parallel lines).\n\nBe sure to visit the link below for greater insight.\n\nHope this helps!
106967
A clothesline.  Any time you have a rope, a string etc. hanging with both ends at the same height you have part of a hyperbola.
1162204
The space between two lines.
345972
If you're parallel to the y axis, you have a vertical line. The equation is x = -1\n\n\nIf you're parallel to the x axis, you have a horizontal line The equation is y = 5
442472
If the line is parallel then it must have an equal slope. Therefore the parallel line would also have a slope of 0.
1047992
think about looking at the horizon, its a line that runs from side to side , sky line in the horizon(horizontal line)
520992
Both are horizontal lines and are parallel to each other. Tis means they have the same slope which is O.\n\ntosmith
921010
I'm going to focus on the usual non-euclidean geometry due to Lobachevsky. In that geometry, there are infinitely many lines parallel to a given line and through a given point. Squares (i.e. figures with 4 equal sides and 4 equal angles) don't have right angles. There is a pentagon with all right angles. The area of a triangle can be determined by the sum of the angles in the triangle (it is proportional to the difference of 180 degrees and the sum of the angles). There is a 'natural' unit of distance obtained from angles between parallel lines and perpendicular lines.
131590
The answer to the question depends on exactly what kind of geometry you are dealing with and what "points" and "lines" mean. \nIf you are talking about ordinary lines and ordinary geometry, then parallel lines do not meet. For example, the line x=1 and the line x=2 do not meet at any point, since the x coordinate of a point cannot be both 1 and 2 at the same time. \n\nIn this context, there is no such thing as "infinity" and parallel lines do not meet. \n\nHowever, you can construct other forms of geometry, so-called non-Euclidean geometries. For example, you can take the usual points of the plane and attach to them an additional point called "infinity" and consider all lines to also include this additional point. In this context, there is a single "infinity" location where all lines meet. In a geometry like this, all lines intersect at infinity, in addition to any finite point where they might happen to meet. \n\nOr, you could attach not just one additional point, but a whole collection of additional points, one for each direction. Then you can consider two parallel lines to meet at the extra point corresponding to their common direction, whereas two non-parellel lines do not intersect at infinity but intersect only at the usual finite intersection point. This is called projective geometry
757381
to determine whether two lines are parallel or perpendicular or neither, we need to have their slopes.\nthe slope of a line passing through (x1,y1) and (x2,y2) is given by m=(y2-y1)/(x2-x1)\ntwo lines are parallel, if their slopes are equal\ntwo lines are perpendicular if the product of their slopes is -1\nfirst find the slopes of both the lines\nslope of first line is m1=(-3-2)/(9-5)=(-5/4)\nslope of the second line is m2=(1-6)/(8-4)=(-5/4)\nsince m1=m2, the lines are parallel, but not perpendicular
939976
You begin with two separate equations, one for each line:\n\ny = m*x + b\ny =  n*x + c\n\nBy definition, when the lines intersect, they are at the same point.  Call this point (x1, y1).  At that single point, the two equations are:\n\ny1 = m*x1 + b\ny1 = n*x1  + c\n\nNow you solve these two. The obvious first step is that since y1 = y1:\n\nm*x1 + b = n*x1 + c\n\nRearrange to get x1 on one side and the rest on the other side:\n\nm*x1 - n*x1 = c - b\n\nx1*(m - n)  = c - b\n\nx1 = (c - b)/(m - n)\n\nYou can put this value for x1 back into one of the equations: \n\ny1 = m * ((c - b)/(m - n)) + b\n\nThis is the general solution for any pair of lines.  You might notice that when m = n, there is no solution.  SInce m and n are the slopes of the lines, when the slopes are equal, the lines are parallel and do not intersect.