The formula for the equation of a circle is (x - h)² + (y - k)² = r²
where (h, k) is the center of the circle and <em>r</em> is the radius.
So we need to find the values of (h, k) in order to find the center of the circle.
If we simply line up the equation of our given circle with our formula,
we can see that -h = 3 or h = -3 and -k = -2 so k = 2.
So now we have our answer.
center ⇒ (-3, 2)
The line is vertical, so the slope is infinite
Step-by-step explanation:
Given two points with coordinates
and
, the slope of the line passing through the two points is given by the equation

In this problem, the coordinates of the two points are:

and

which means:

Substituting all these values into the equation of m, we find the slope of the line:

The slope is infinite: this is because the line is vertical.
Learn more about slope of a line:
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