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).
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how do you find distance between points
The distance between any two points on a number line is the absolute value of the difference of the coordinates.
The distance between two points is Square root of [ (difference in their 'x' coordinates)2 + (difference in their 'y' coordinates)2 ]
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.
To determine the distance between two points on a graph, you can use the distance formula, which is derived from the Pythagorean theorem. This formula calculates the distance as the square root of the sum of the squares of the differences in the x-coordinates and y-coordinates of the two points. By plugging in the coordinates of the two points into the formula, you can find the distance between them on the graph.
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.