The Distance and Midpoint Formulas

1
Section 1.1 The Distance and Midpoint Formulas
2
Rectangular or Cartesian Coordinate System
3
Let's plot the point (6,4)
Let's plot the point (-6,0)
(0,7)
(6,4)
(-6,0)
(-3,-5)
Let's plot the point (-3,-5)
Let's plot the point (0,7)
4
Quadrant I x gt 0, y gt 0
Quadrant II x 0, y 0
lt
lt
Quadrant III x 0, y 0
Quadrant IVx 0, y 0
lt
lt
lt
lt
5
(No Transcript)
6
(No Transcript)
7
(No Transcript)
8
Horizontal Segments

• Suppose that you have two points and
  that lie on a horizontal line, then
  __________

9
Vertical Segments

• Suppose that you have two points and
  that lie on a vertical line, then
  __________

10
1
11
2

• A car and a truck leave an intersection at the
  same time. The car heads north at an average
  speed of 30 miles per hour, while the truck heads
  east at an average speed of 40 miles per hour.
  Find an expression for their distance apart d (in
  miles) at the end of t hours.

12
(No Transcript)
13
The midpoint of the line segment from P1 to P2 is
(5, -4). If P2 (7,-2), what is P1?
14

• Section 1.1 Assignment
• 1-10ALL, 15, 23, 27, 29, 31, 35, 44, 45, 47, 49,
  51, 59, 61ab, 63
• Assignments in this class will not be taken up
  unless specified, BUT you expected to complete
  every assigned problem and read every section.
  Some quizzes will be over exact homework
  questions.