Given the circle with the equation (x - 3)^2 + y^2 = 49, 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. put the calculations a. (-1, 1) b. (10, 0) c. (4, -8)

The generic expression for a circle is

where is the center, and is the radius.

If you compare this expression to yours, you can see that you have

So, the center of the circle is and the radius is 7.

Now, to state whether a point is inside, outside or in the circumference, you can compare the distance from the center and the radius:

Remember that, if you want to compute the distance between two points , you can use the formula

Using this formula, you can see that (if we call the center of the cirlce O):

y=1/4x-4

step-by-step explanation: