Answer:
( 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.
