Answer:
The answer is "x-h and y-k".
Step-by-step explanation:
The center is (h, k) with E (x, y) point, and its length of the legs used during extracting the standard circle equation should be found. Its right triangle length base is (x-h) units, as well as the right triangle's length, is (y-k). So, these are the required leg lengths, that's why the above-given points are correct.
Steps to solve:
3 + 2x = -6x + 4
~Subtract 3 to both sides
3 - 3 + 2x = -6x + 4 - 3
~Simplify
2x = -6x + 1
~Add 6x to both sides
2x + 6x = -6x + 6x + 1
~Simplify
8x = 1
~Divide 8 to both sides
8x/8 = 1/8
~Simplify
x = 1/8
Best of Luck!