SOLUTION: center at (-4,5) and tangent to the line y=4? how can i solve this and plot this on the graph

Algebra ->  Circles -> SOLUTION: center at (-4,5) and tangent to the line y=4? how can i solve this and plot this on the graph      Log On


   



Question 534131: center at (-4,5) and tangent to the line y=4?
how can i solve this and plot this on the graph

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The circle will be tangent to the line at a point with y=4.
The center of the circle is on the line x=-4.
The lines x=-4 and y=4 are perpendicular, like radius and tangent should be.
The segment on line x=-4 between circle center (-4,5) and the intersection with the tangent line y=4 is a radius of the circle.
The circle will be tangent to the line at the point (-4,4).
The length of the radius is 1.
The equation of the circle is
%28x%2B4%29%5E2%2B%28y-5%29%5E2=1
The circle looks like a little wheel of radius 1 (diameter=2) sitting on point (-4,4) on the horizontal line y=4.