How Do You Find The Coordinates Of An Intersect of A Circle And Line?
to find an intersection of two equations you need to substitute one into the other which in this case is very easy since one already had one variable on one side so lets put the first equation into the second equation x^2 + (x-3)^2 = 65 so lets factor it out x^2 + x^2 -9 = 65 then combine like terms 2x^2 – 9 = 65 now lets solve for x 2x^2 = 74 x^2 = 72 x = sqrt(72) now we know what x equals so now lets plug x into the first equation to find y y = sqrt(72) – 3 so now we have our coordinates (sqrt[72], sqrt[72] – 3) Hope this helps!
