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Section 1.1
The Distance and Midpoint Formulas
x axis
y axis
origin
Rectangular or Cartesian Coordinate System
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)
Quadrant I x > 0, y > 0
Quadrant II x < 0, y > 0
Quadrant III x < 0, y < 0
Quadrant IVx > 0, y < 0
Horizontal or Vertical Segments
Find the distance d between the points (2, 4) and ( 1, 3).
221 2 3 4d
22( 3) 7d 9 49 58 7.62
Find the midpoint of the line segment from P1 = (4, 2) to P2 = (2, 5). Plot the points and their midpoint.
4 2
2x
3
2 5
2y
7
2
73,
2M
x
y
P1
P2
M