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)