Midpoint and Distance in the Coordinate Plane You can use formulas to find the midpoint and the length of any segment in the coordinate plane. Number Line Coordinate Plane

Finding the Midpoint Segment AB has endpoints at -4 and 9. What is the coordinate of its midpoint?

Finding the Midpoint Segment EF has endpoints E (7 , 5) and F (2 , -4). What are the coordinates of its midpoint M?

Finding the Midpoint Find the coordinates of the midpoint of EF with endpoints E(–2, 3) and F(5, –3).

Finding the Midpoint Find the coordinates of the midpoint of PQ with endpoints P(–8, 3) and Q(–2, 7). = (–5, 5)

Finding an Endpoint The midpoint of segment CD is M(-2 , 1). One endpoint is C (-5 , 7). What are the coordinates if the other endpoint D?

Finding an Endpoint M is the midpoint of XY. X has coordinates (2, 7) and M has coordinates (6, 1). Find the coordinates of Y. Step 1 Let the coordinates of Y equal (x, y). Step 2 Use the Midpoint Formula:

Finding an Endpoint Step 3 Find the x-coordinate. Set the coordinates equal. Multiply both sides by 2. 12 = 2 + x Simplify. 2 = 7 + y – 7 –7 – 2 –2 Subtract. –5 = y 10 = x Simplify. The coordinates of Y are (10, –5).

Distance Formula The distance between two points A(x1 , y1) and B(x1 , y1) is

Finding Distance What is the distance between U(-7 , 5) and V(4 , -3)? Round to the nearest tenth?