The new coordinates are
(3 + the old 'x', 2 + the old 'y')
In cartesian coordinates (x, y) = (3, -4)
The new coordinates are (3, -5).
(2,1)
Using the distance formula the length of the line segment from (10, -3) to (1, -3) is 9 units which means that the line segment is partitioned by 2 units and 7 units. To find the coordinates of point R plot the above information on the Cartesian plane.
(0,0) = the origin
The coordinates are (10, 5).
Here's an example: In the coordinate plane, the point is translated to the point . Under the same translation, the points and are translated to and , respectively. What are the coordinates of and ? Any translation sends a point to a point . For the point in the problem, we have the following. So we have . Solving for and , we get and . So the translation is unit to the right and units up. See Figure 1. We can now find and . They come from the same translation: unit to the right and units up. The three points and their translations are shown in Figure 2.
They are (a, b-4).
The coordinates of a point two units to the right of the y-axis and three units above the x-axis would be (2,3).
(3,0)
Given only the coordinates of that point, one can infer that the point is located 10 units to the right of the y-axis and 40 units above the x-axis, on the familiar 2-dimensional Cartesian space.
In cartesian coordinates (x, y) = (3, -4)
The point (x, y) is moved to (x+pi/4, y).
(-4,-2)
The point which is one unit to the left and 4 units up from the origin.
The new coordinates are (3, -5).
-4