Respuesta :

ANSWER

[tex]R_{y=1}(P) = ( - 2, - 5)[/tex]

EXPLANATION

The given point is

P(-2,7)

We want find

[tex]R_{y=1}(P)[/tex]

Thus, the image of P under a reflection in the line y=1.

The mapping for a reflection in the line y=k is;

[tex](x,y)\to (x,2k-y)[/tex]

This implies that,

[tex]( - 2,7)\to ( - 2,2(1)-7)[/tex]

[tex]( - 2,7)\to ( - 2,-5)[/tex]

Answer:

(-2,-5)

Step-by-step explanation:

Given that there is a point P with coordinates (-2,7) and it is reflected on a horizontal line y =1

To find the new coordinates of P

When a point is reflected over a horizontal line only vertical distance changes but horizontal distance i.e. from y axis or x coordinate remains the same

So new x coordinate = -2

P has distance of 6 from the line y =1

So P' will also have a distance of 6 on other side of y=1

i.e. y coordinates would be =1-6 =-5

So new coordinate is (-2,-5)

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