1. “The mind is not a vessel to be filled, but a fire to be kindled.” ― Plutarch Do now Plutarch Find the average of 4 and 8.Find the average of 4 and 8. Find the average of -9 and 7.Find the average of -9 and 7. On a number line, how far away is -7 from -1?On a number line, how far away is -7 from -1? How far is -10 from 10?How far is -10 from 10?

2. Midpoint and distance

3. Midpoint formula Midpoint—the halfway point between two end pointsMidpoint—the halfway point between two end points Find it by taking the average of the two endpoints.Find it by taking the average of the two endpoints.

4. Distance formula Distance—the length of the line segment that connects two points.Distance—the length of the line segment that connects two points.

5. equidistant A point the same distance from two or more other pointsA point the same distance from two or more other points A midpoint is equidistant from both its endpoints.A midpoint is equidistant from both its endpoints. Once we find a midpoint, we can use the distance formula to check the distance from the midpoint to each endpoint. That distance will be the same.Once we find a midpoint, we can use the distance formula to check the distance from the midpoint to each endpoint. That distance will be the same.

6. Exit slip 1.What is the midpoint M of AB where A is at (4, -6) and B is at (0, 8)? 2.What is the distance between A (4, -6) and B (0, 8)? 3.Is the midpoint M you found in #1 equidistant from points A and B? Explain how you know. 4.If P at (-3, 7) is the midpoint of RS, where R is at (-4, 9), where is S?