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bonufazy [111]
3 years ago
8

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 origi

n along the x-axis and 2 units farther from it along the y-axis. What would be the location of point A ?
Mathematics
1 answer:
Zina [86]3 years ago
3 0

Answer:

The coordinates of point A are A(x,y) = (4,6).

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:

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

P(x,y) - Absolute coordinates of point P.

A(x,y) - Absolute coordinates of point A.

\vec v_{PA} - Vector to point A relative to point P.

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

A(x,y) = (6,4) +(-2,2)

A(x,y) = (4,6)

The coordinates of point A are A(x,y) = (4,6).

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