Question

5) Center: (-8, 3) Point on Circle: (-9, 7)

Answer 1

5)

we need first to calculate the radius of the circumference, this is the distance between the center to any point of the circumference, then the radius will be:

$\sqrt[]{(-8-(-9))^2+(3-7)^2}=\sqrt[]{1+16}=\sqrt[]{17}$

then the circumference equation is:

$(x+8)^2+(y-3)^2=17$