Please help, I am so confused ( please list in the correct order as well)

( 5, 7),  ( 5, 7), Yes M is the center

Step-by-step explanation:

It could help you under stand this by drawing it out on paper.  I can't draw it here.  You just need to visualize a circle with points A and B on the outside portion of the circle.  Then there is point M inside the circle.  You are trying to figure out if M is in the center or not.

Look at the coordinates for all 3 and find the distance from A to M and then B to M.  Count the total distance of the x values and the y values keeping in mind that positive Y numbers are above the x axis and negatives are below.  And, negative numbers for X are to the left of the y axis and positive is to the right.

From A ( -1, -9) to M ( -6, -2).  Look at the x values.  You are going from -1 to -6 which is a total of 5 points.  Now look at y values.  You are going from -9 to -2 which is a total of 7 points.  So the distance in coordinates is ( 5, 7)

From B ( - 11, 5) to M ( -6, -2).  Again look at x values. You're going from -11 to -6 which is 5 points.  Looking at the y values, you are going from 5 to -2.  This is 5 above the x axis going down to a -2 which is below the x axis.  So the total is 7 points.  The distance of these two is also ( 5, 7 ) which is the same as the other distance.

Therefore, you can state correctly that M is the center of the circle.

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step-by-step explanation:

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