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Q: If point A is located at (-7-3) there are 12 points between A and B what could be the possible coordinates for point B?

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The possible coordinates of the midpoint depend on the coordinates of A and T and these depend on what these two points are and how they are related.If A = (p,q) and T = (r,s ) then the midpoint of AT has coordinates [(p+r)/2, ((q+s)/2].

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.

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.

A two-dimensional surface on which points are plotted and located by their x and y coordinates

There are infinitely many possible correspondences between points in the coordinate plane. Some examples: Every point with coordinates (x+1, y) is one unit to the right of the point at (x, y). Every point with coordinates (x, y+1) is one unit up from the point at (x, y). Every point with coordinates (x, -y) is the reflection, in the y-axis of the point at (x, y).

Related questions

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how do you find distance between points

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

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

The possible coordinates of the midpoint depend on the coordinates of A and T and these depend on what these two points are and how they are related.If A = (p,q) and T = (r,s ) then the midpoint of AT has coordinates [(p+r)/2, ((q+s)/2].

It is simply the difference between their y coordinates.

It is simply the difference between their y coordinates.

It is the fact that their coordinates are not the same.

The distance between two points on a line is the absolute value of the difference between their coordinates. This can be calculated using the distance formula: |x2 - x1|, where x1 and x2 are the coordinates of the two points.

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

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.

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.