Question

2.2 score: 4/13 answered: 4/13 question 5 write the equation of the circle with center: (6, -4) and radius: 3. question help: video ebook message instructor submit question

Explanation:

Step1: Recall circle - equation formula

The standard form of the equation of a circle is $(x - h)^2+(y - k)^2=r^2$, where $(h,k)$ is the center of the circle and $r$ is the radius.

Step2: Identify values of $h$, $k$, and $r$

Given that the center is $(6,-4)$, so $h = 6$ and $k=-4$, and the radius $r = 3$.

Step3: Substitute values into the formula

Substitute $h = 6$, $k=-4$, and $r = 3$ into the equation $(x - h)^2+(y - k)^2=r^2$. We get $(x - 6)^2+(y+4)^2=9$.

Answer:

$(x - 6)^2+(y + 4)^2=9$