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How you would write the equation of a line given a point on the line and a parallel line?
y = 3x+5 is parallel to y = 3x+7
A given line is always parallel to itself?
False.
What is the locus of points at a given distance of a line?
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.
What is needed to determine a line?
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.
Find the slope of a line parallel to the graph of y 4x 2?
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.
How can you prove that a constructed line is parallel to a given line?
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.
How do you draw a parallel line with a set square?
draw line st parallel to line mn
Through a given point not on a given line there is exactly one line parallel to the given line?
The Playfair Axiom (or "Parallel Postulate")
How do you construct a parallel line using a perpendicular line?
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.
How do you draw line parallel to line mn?
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.
How do you draw two parallel lines using only a straightedge and a protractor?
Draw a line. Draw a perpendicular to that line then a perpendicular from that one.
Which conjecture justifies the construction of a line parallel to a given line through a given point?
Euclid's parallel postulate.
How do you identify the slope of the line that that would be parallel to the given line y5-3x?
Calculate the slope of the given line. Any line parallel to it will have the same slope.
What is another name for the Playfair Axiom?
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.
How do you negate the euclidean parallel postulate?
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.
Through a given point on a given line there is exactly one line parallel to the given line what does it define?
Playfair Axiom
How do you write an equation that is parallel to a given line and passes through the given point?
Parallel straight line equations have the same slope but with different y intercepts
