mac1147_lecture8_1_b

mac1147_lecture8_1_b - L8 Rectangular Coordinates Graphs of...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
87 L8 Rectangular Coordinates; Graphs of Equations; Circle The Rectangular Coordinate System is formed by the x axis and y axis. A plane with the rectangular coordinate system is called the coordinate plane or xy - plane . This plane has four quadrants: For each point P in the xy - plane , there is a corresponding ordered pair ( , ) x y , where x and y are called coordinates of P , and we write ( , ) P xy = . Example : Determine the quadrant(s) in which ( , ) x y is located if 0 x < and 0 y < 2 x > and 3 y =
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
88 Distance between Two Points The distance between two points 11 1 (, ) P xy = and 22 2 ) P = , denoted by 12 ) dPP , is 2 1 2 1 ) ( ) ( ) x x y y =− + . Note : 1) ) 0 2) ) 0 = if and only if P P = 3) 21 ) ( , ) = Midpoint A point M on the line segment with endpoints 1 P and 2 P is called the midpoint if ) ( , ) dPM dMP = .
Background image of page 2
89 Midpoint Formula : The midpoint M of the line segment with the endpoints 11 1 (, ) P xy = and 22 2 ) P = is 12 , x y M + + ⎛⎞ = ⎜⎟ ⎝⎠ . Example : Given two points ( 2, 5) and (4,6), find the midpoint of the line segment joining them. Find the distance between the midpoint and the origin.
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Page1 / 14

mac1147_lecture8_1_b - L8 Rectangular Coordinates Graphs of...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online