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Point P(−5, 2) is translated using the rule (x+3, y−1). What is the x-coordinate of P′? Enter your answer in the box.

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texaschic101
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P(-5,2)...so x = -5 and y = 2

the rule (x + 3, y - 1)

P'...x + 3...so we are gonna sub in out x coordinate (the -5) for x
     -5 + 3 = -2

so our new x term is gonna be -2

we would do the same with y.....
y - 1....our y coordinate is 2...so we sub in 2 for y
2 - 1 = 1
so our new y term is 1

so P' is (-2,1).....with the x coordinate being -2 <==

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position. The x-coordinate of point P′ will be −2.

What are coordinates?

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.


Given the coordinates of the point P as (−5, 2). Also, the rule through which point B is needed to translate as (x+3, y−1). Therefore, the new coordinates of point P after translation will be,

Point P' → (−5 + 3, 2 − 1) → (−2, 1)

Therefore, the new coordinates of point B are B' (−2, 1).

Hence, the x-coordinate of point P′ will be −2.

Learn more about Coordinates:

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