False.
* * * * *
No, it is true. It is false if the line is a vector but not otherwise.
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.
-1
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.
a line of best fit
Y Equals X PointsAll points that has the same y coordinates as x coordinates are on the y=x line.
If there are three points, there are six possible orders, while "either" implies one of two! Leaving that aside, convention requires that, in elementary mathematics, the points are given in order - in either direction (ad there are only two possible directions). However, that is not the case with vectors. The order of the points is critical for vectors because, in vector algebra AB = -BA
False ( apex )
There are an infinity of points 4cm from a given line. These points form 2 lines parallel to and either side of the original line. Equally, there are an infinite number of points 4cm from a given point on the original line. These points lie on the circumference of a circle radius 4cm with its centre at the given point. There are only 2 points that fulfil both conditions. These points are found on the circumference of the circle where a diameter perpendicular to the original line and passing through the given point meets the circumference of the circle. These two points are also where the two parallel lines form tangents with the circle.
It's conventional, rather than compulsory.
That depends on the points in order to find the slope whereas no points have been given.
A straight line may be extended in either direction indefinitely. A ray is the part of the straight line beginning at a given point and extending limitlessly in one direction. A line segment is a part of the straight line between two of its points, including the two points.
Normally a straight line segment.
A line, ray, or line segment contains an infinite number of points.
line
Normally, you would do this, but there are exceptions. For example, the sides of a triangle are ab=10, bc=12, ca=15.
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.
But it's not an equation because there is no equal sign and no points are given.