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[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

Q: How do you draw a line parallel to a given line?

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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.

y = 4x + 2 Find the slope of a line parallel to the given equation. First, let's take a look at what it means to be parallel. The easiest way to look at it, is to think of railroad tracks. Parallel lines are the same distance apart for EVERY point on the line. This means, parallel lines will NEVER, ever cross. There will never be a point in common with both. Now think about how this will help us with our slope in the equation. Try to answer the following. Our parallel line will have: a) the same slope as the given line OR b) a different slope as the given line That's right, (a). If you're asked to find the equation/slope of a parallel line to a given line, the parallel line will always have the exact SAME slope as your given line! Since our given line y= 4x +2 has a slope of 4, the parallel line to y = 4x +2 will also have a slope of 4. Remember, the general form of a linear equation is y = mx +b, where m = slope and b = y-intercept.

Related questions

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.

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.

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

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y = 3x+5 is parallel to y = 3x+7