Solving for U & P in a Coordinate Change

Solving for U and P, we get U=1 and P=-1. Therefore, for the new coordinate to equal 11, the original coordinate must have been -12. In summary, the coordinate change on a line with a new coordinate z=U⋅x+P, where U and P are real numbers with U non zero, can be found by setting up a system of equations using the given coordinates and solving for U and P.
  • #1
avyunker
4
0
Assume that you are given a coordinate change on a line which changes the coordinate x to a new coordinate z given by the formula z=U⋅x+P where U,P are real numbers with U non zero. If the new coordinate of the point -13 is 12 and the new coordinate of the point -7 is 6 then we must have U= ? and P= ? . Moreover, for the same transformation, if the new coordinate is (11) then the original coordinate must have been ?
 
Mathematics news on Phys.org
  • #2
You can use the given information to set up a system of equations:

\(\displaystyle -13U+P=12\)

\(\displaystyle -7U+P=6\)
 

FAQ: Solving for U & P in a Coordinate Change

How do I solve for U and P in a coordinate change?

To solve for U and P in a coordinate change, you will need to use a system of equations and solve for each variable. You can also use substitution or elimination to find the values of U and P.

What is the purpose of solving for U and P in a coordinate change?

The purpose of solving for U and P in a coordinate change is to find the new coordinates of a point after it has undergone a transformation. This is useful in many mathematical and scientific applications, such as in geometry and physics.

What are the common methods used to solve for U and P in a coordinate change?

The common methods used to solve for U and P in a coordinate change include substitution, elimination, and using a system of equations. These methods involve manipulating the equations to isolate the variables and solve for their values.

Can I solve for U and P by graphing?

Yes, you can use graphing to solve for U and P in a coordinate change. You can plot the original and transformed points on a graph and use the coordinates to find the values of U and P.

Are there any tips for solving for U and P in a coordinate change?

One helpful tip is to carefully label and track the variables as you manipulate the equations. It is also important to check your solutions to ensure they satisfy all of the equations in the system. Additionally, practicing with different types of coordinate changes can improve your problem-solving skills.

Similar threads

B Invariant under rotation: Banal, obvious, or noteworthy?
Replies
2
Views
1K
MHB Gre.al.12 transformationof a function
Replies
2
Views
2K
MHB Find the area of the shaded region
Replies
2
Views
1K
MHB Finding Conversion Formula for P & Q Coordinates
Replies
1
Views
1K
B Correlation between shifting graph of a function and shifting the axes
Replies
5
Views
1K
MHB Finding exact 3d coordinates in a falling pipe system with corners
Replies
20
Views
4K
MHB Calculating Coordinates of Spherical Triangles
Replies
7
Views
3K
MHB Finding 2D Polygon Coordinates from a point
Replies
2
Views
1K
I Is a Gravitational Field Real or Just a Coordinate Transformation Artifact?
2
Replies
40
Views
3K
B Confusion about The Conjugate Roots Theorem
Replies
8
Views
1K

Hot Threads

Recent Insights

Back
Top