1. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 1.1 The Distance and Midpoint Formulas

2. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. x axis y axis origin Rectangular or Cartesian Coordinate System

3. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Let's plot the point (6,4) (-3,-5) (0,7) Let's plot the point (-6,0) (6,4) (-6,0) Let's plot the point (-3,-5)Let's plot the point (0,7)

4. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Quadrant I x > 0, y > 0 Quadrant II x 0 Quadrant III x < 0, y < 0 Quadrant IV x > 0, y < 0

5. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Calculator: Select a setting so each point will lie within the viewing window.

6. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

9. Horizontal or Vertical Segments

10. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Find the distance d between the points (2,  4) and (  1, 3).

11. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

14. Plot each point and form the triangle ABC, verify that the triangle is a right triangle. Find its area.

15. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

18. Find the midpoint of the line segment from P 1 = (4,  2) to P 2 = (2,  5). Plot the points and their midpoint. P1P1 P2P2 M

19. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Find the midpoint of the line segment joining points and

20. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Find all points on the y-axis that are 5 units from the point (4, -3)

21. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. The layout of a Little League playing field is a square, 60 feet on a side. How far is it directly from home plate to second base (the diagonal of the square)?

22. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. A hot –air balloon, headed due east at an average speed of 15 miles per hour and at a constant altitude of 100 feet, passes over an intersection (see the figure). Find an expression for the distance d (measured in feet) from the balloon to the intersection t seconds later.

23. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.