The point P has coordinates (x,y) = (-2,6) so x = -2 and y = 6
Replace x and y with those values into the rule given
So,
(x,y) ---> (x-2, y-16)
turns into
(-2,6) ---> (-2-2, 6-16) = (-4,-10)
P = (-2,6)
P ' = (-4,-10)
The answer is -10 because your teacher just wants the y coordinate of point P'
The answer is b because are congruent
The equation line passing through a point is understood to be parallel to the x-axis. In this case, the equation should be expressed as y = b where b is any number. Since y = 14 in the point (1,14), the equation of horizontal line passing through this point is y = 14.