Answer:
[tex]R_{x=1}(P)=(4,7)[/tex]
Step-by-step explanation:
The given point P has coordinates, [tex](-2,7)[/tex].
We want to find the image of this point, after a reflection in the line [tex]x=1[/tex].
The mapping for a reflection in the line, [tex]x=k[/tex] is
[tex](x,y)\to (2k-x,y)[/tex]
This implies that;
[tex](-2,7)\to (2(1)--2,7)[/tex]
Hence;
[tex](-2,7)\to (4,7)[/tex]
