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STatiana [176]
3 years ago
6

Point X (-1, 6) is rotated 90 degrees about the origin using the transformation rule (x, y) --> (-y, x). What is the ordered

pair of the Image X'? Please write your response as (x, y),
Mathematics
1 answer:
kati45 [8]3 years ago
8 0

Answer:

The coordinates of the ordered pair of the Image X' are:  X'(-6, -1)

Step-by-step explanation:

When a point A(x, y) is rotated 90° counterclockwise around the origin, we flip x and y and reverse the sign of y.  

Thus,  

The rule to rotate a point A(x, y) after a rotation 90° counterclockwise around the origin is:  

A(x, y) → A'(-y, x)

In our case, the point X (-1, 6) is rotated 90° counterclockwise about the origin. Thus, the coordinates of  P' will be:

A(x, y) → A'(-y, x)

X (-1, 6) → X'(-6, -1)

Therefore, coordinates of the ordered pair of the Image X' are:  X'(-6, -1)

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Answer:

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Step-by-step explanation:

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First, solve for x in the first equation:

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Now plug in what you found for x into the 2nd equation and solve for y.

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Now plug your answer for y back into the first equation to get x.

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x - 4 + 4 = - 8 + 4   4 cancels on the left

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