What is the image of (6, -3) reflected over the line y=4?

1 Answer
Feb 25, 2017

Coordinates of image are #(6,11)#

Explanation:

As #y=4# is parallel to #x#-axis,

abscissa of image would not change and will be #6#.

Further distance of #(6,-3)# from #y=4# is #|-3-4|=7# and point is below line #y=4#

hence image will be further #7# from it and hence

its ordinate would be #4+7=11# and

Coordinates of image are #(6,11)#
graph{((x-6)^2+(y-11)^2-0.1)((x-6)^2+(y+3)^2-0.1)(y-4)=0 [-16.58, 23.42, -4.96, 15.04]}