The Distance Formula.

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Presentation transcript:

The Distance Formula

D = 3.16 Example #1 Use the distance formula to find the distance between (1, 4) and (-2, 3) D = 3.16

Example #2 Use the distance formula to find the distance between the points, (10, 5) and (40, 45).

3. Find the distance between the points. Round to the nearest tenth.

4. Find the distance between the points. Round to the nearest tenth. (-1,-1)

5. Find the distance between the points. Round to the nearest tenth.

The midpoint between (x1, y1) and (x2, y2) is The Midpoint Formula The midpoint of a line segment is the point on the segment that is equidistant from its endpoints The midpoint between (x1, y1) and (x2, y2) is

Example Find the midpoint of the line segment connecting the given points. (-2, 3) and (4, 2)

Example Find the midpoint of the line segment connecting the given points. (200, 75) and (25, 175).

Endpoint (-6, -2), midpoint (6, -10) Finding the ENDPOINT Find the other ENDPOINT of the line segment with the given endpoint and midpoint. Endpoint (-6, -2), midpoint (6, -10)

Example Find the midpoint of the line segments.

Put it all together! On a road trip, you hike 3 miles north and 2miles west. Starting at the same point, your friend hikes 4 miles east and 1 mile south. How far apart are you? If you want to meet for lunch, where could you meet so each person goes the same distance?