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Point P is shown graphed on the coordinate grid as (6,4). In relation to point P, point A is located 2 units closer to the origin along the x-axis and 2 units farther from it along the y-axis. What would be the location of point A ?

Sagot :

xero099

Answer:

The coordinates of point A are [tex]A(x,y) = (4,6)[/tex].

Step-by-step explanation:

The location of point A is defined by the vectorial sum of absolute coordinates of point P and coordinates of point A relative to coordinates of point P, that is:

[tex]A(x,y) = P(x,y) + \vec v_{PA}[/tex] (1)

[tex]P(x,y)[/tex] - Absolute coordinates of point P.

[tex]A(x,y)[/tex] - Absolute coordinates of point A.

[tex]\vec v_{PA}[/tex] - Vector to point A relative to point P.

If we know that [tex]P(x,y) =(6,4)[/tex] and [tex]\vec v_{PA} = (-2, 2 )[/tex], then the absolute coordinates of point A are:

[tex]A(x,y) = (6,4) +(-2,2)[/tex]

[tex]A(x,y) = (4,6)[/tex]

The coordinates of point A are [tex]A(x,y) = (4,6)[/tex].

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