[A Parallel line is a straight line, opposite to another, that do not intersect or meet.]
Ie. Line 1 is Parallel to Line 2.
------------------------------------------------- <Line 1
------------------------------------------------- <Line 2
y = 3x+5 is parallel to y = 3x+7
False.
The locus of points at a given distance to a line would be a line parallel to the first line. Assuming that both lines are straight.
Two points determine a line. Also there is one and only line perpendicular to given line through a given point on the line,. and There is one and only line parallel to given line through a given point not on the line.
Oh, dude, finding the slope of a line parallel to another line is like finding a matching sock in a pile of laundry. The slope of a line parallel to y = 4x - 2 is just the same as the slope of the original line, which is 4. So, like, the slope of the parallel line is also 4. Easy peasy lemon squeezy.
One way is to draw a straight line from the constructed line to the given line. If the lines are parallel, than the acute angle at the given and constructed line will be the same as will be the obtuse angles at the given and constructed line.
draw line st parallel to line mn
The Playfair Axiom (or "Parallel Postulate")
Start with a line, L1. Draw a line perpendicular to it, L2. Next draw a line perpendicular to L2, but not the same as L1. This last line will be parallel to L1.
To draw a line parallel to line MN, you can use a straightedge and a pencil. Start by marking a point anywhere on the paper and label it as point A. Then, place the straightedge on point A and line MN, ensuring that the straightedge is parallel to line MN. Next, draw a line extending from point A along the straightedge, and this new line will be parallel to line MN.
Draw a line. Draw a perpendicular to that line then a perpendicular from that one.
Euclid's parallel postulate.
Calculate the slope of the given line. Any line parallel to it will have the same slope.
Another name for the Playfair Axiom is the Euclid's Parallel Postulate. It states that given a line and a point not on that line, there is exactly one line parallel to the given line passing through the given point.
Assume there are no lines through a given point that is parallel to a given line or assume that there are many lines through a given point that are parallel to a given line. There exist a line l and a point P not on l such that either there is no line m parallel to l through P or there are two distinct lines m and n parallel to l through P.
Playfair Axiom
Parallel straight line equations have the same slope but with different y intercepts