Answer:
A point travels East 3 spaces and South 8 spaces.
Algebraic equation
[tex]P'(x,y) = (x+3, y-8)[/tex]
Step-by-step explanation:
From the viewpoint of Linear Algebra, the description can be described by means of translation, which is defined as:
[tex]P'(x,y) =P(x,y) +T(x,y)[/tex] (1)
Where:
[tex]P(x,y)[/tex] - Initial position of the traveller, dimensionless.
[tex]T(x,y)[/tex] - Translation vector, dimensionless.
[tex]P'(x,y)[/tex] - Final position of the traveller, dimensionless.
Let suppose that [tex]y > 0[/tex] represents the number of steps to the north, and [tex]x> 0[/tex], the number of steps to the east.
If we know that [tex]P(x,y) =(x,y)[/tex] and [tex]T(x,y) = (3, -8)[/tex], then the resulting equation is:
[tex]P'(x,y) = (x,y) +(3,-8)[/tex]
[tex]P'(x,y) = (x+3, y-8)[/tex]
