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.

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.