Question

using the diagram, what is the center of the circle? (hint: the center is the mid - point of the diameter)
(-6, -3)
(4, 3)
center = ( )

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$.

Step2: Identify the two points

Here, $(x_1,y_1)=(-6,-3)$ and $(x_2,y_2)=(4,3)$.

Step3: Calculate the x - coordinate of the mid - point

$x=\frac{-6 + 4}{2}=\frac{-2}{2}=-1$.

Step4: Calculate the y - coordinate of the mid - point

$y=\frac{-3+3}{2}=\frac{0}{2}=0$.

Answer:

$(-1,0)$