Question 947097
if you draw a circle around the point (0,2) with a radius of 2, you will find that you have 2 points that are the same distance from the point (0,2) and also the same distance from the line y = 4.


those points are (-2,2) and (2,2)


they are 2 units away from the point (0,2).


they are 2 units away from the line y = 4.


their distance from the line y = 4 is measured by drawing a line perpendicular to the line y = 4 from each of those points.


those vertical lines will intersect the line y = 4 at the points (-2,4) and (2,4).


(-2,2) is 2 units away from (-2,4).


(2,2) is 2 units away from (2,4).


the points (-2,2) and (2,2) are therefore both the same distance from the point (0,2) and the line y = 4.


a picture of what this looks like is shown below:


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