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Q: Any two points on a number line is the absolute value of the difference of the coordinates?

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The distance between any two points on a number line is the absolute value of the difference of the coordinates.

distance

DISTANCE

It is simply the difference between their y coordinates.

It is simply the difference between their y coordinates.

The distance between them is the absolute value of the difference in their vertical coordinates.

When a line segment connecting two points is horizontal the length of the segment can be found by finding the absolute value of the difference in x-coordinates of the two points.

All complex number that can be represented by the coordinates of points on the unit circle, that is, the circle with its centre at the origin and a radius of 1 unit.

The Minkowsky or Taxicab distances.

The difference in the X-coordinates (in the X-axis (horiztontal(left-right))) of two points is called the "run".

The slope for a line between two points is (difference of y-coordinates) divided by (difference of x-coordinates). That is, (y2-y1)/(x2-x1). It doesn't matter in what order you take the points.

Horizontal

x-coordinates :)

The distance between two points is Square root of [ (difference in their 'x' coordinates)2 + (difference in their 'y' coordinates)2 ]

Simply divide the difference in the y-coordinates, by the difference in the x-coordinates.

In 2-dimensional space, it is the difference between their y-coordinates, in 3-dimensional space, it is the difference between their z-coordinates.

You need two coordinates, not one, to specify a point. To calculate the slope, simply calculate (difference in y-coordinates) / (difference in x-coordinates).

If you mean points of: (5, 0) and (6, 2) then the slope works out as 2

Calculate the difference of the y-coordinates, and divide it by the difference of the x-coordinates. That is the slope.

The idea is to divide (difference in y-coordinates) by (difference in x-coordinates). If you mean points of (-5, 4) and (15, -4) then the slope works out as -2/5

Points: (-1, 2) and (3, 3) Slope: 1/4

Yes. Calculate the ratio of the difference in y-coordinates and the difference in x-coordinates between pairs of points. If the ratio is the same, the points are collinear. If not, they are not. The only exception is if all the x-coordinates are he same and the ratio is not defined. In this case the points are also collinear - all on a vertical line.

Subtract the y-coordinates of the points and take the absolute value

Add the x-coordinates of the points and take the absolute value

Points: (-3, -1) and (3, -2) Slope: -1/6