Given the circle with the equation (x + 1)2 + y2 = 36, determine the location of each point with respect to the graph of the circle. in your final answer, state whether each point is on the interior, exterior, or circumference of the circle. include your calculations as proof of each point’s location.
a. (-1, 1)
b. (-1, 6)
c. (4, -8)

(-1, 1)  interior

(-1, 6)  on circumference

(4, -8) exterior

Step-by-step explanation:

The general equation of a circle has the following form

Where the point (h, k) is the center of the circle and r is the radius.

For any point is true that:

If then is on the circumference line:

If then is outside the circle

If then is within the circumference:

In this case the equation is:

Then For (-1, 1) we have

the point (-1, 1) is within the circumference:

Then For (-1, 6) we have

the point (-1, 6) is on the circumference line

Then For (4, -8) we have

the point (4, -8) is outside the circle

step-by-step explanation:

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