{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

mac1105_lecture10_2 - L10 Rectangular Coordinates Graphs of...

Info icon This preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
91 L10 Rectangular Coordinates; Graphs of Equations 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 x y = . Example : Determine the quadrant(s) in which ( , ) x y is located if 0 x < and 0 y < 2 x > and 3 y = 92 Distance Formula The distance between two points 1 1 1 ( , ) P x y = and 2 2 2 ( , ) P x y = , denoted by 1 2 ( , ) d P P , is 2 2 1 2 2 1 2 1 ( , ) ( ) ( ) d P P x x y y = + . Note : 1) 1 2 ( , ) 0 d P P 2) 1 2 ( , ) 0 d P P = if and only if 1 2 P P = 3) 1 2 2 1 ( , ) ( , ) d P P d P P = Midpoint A point M on the line segment with endpoints 1 P and 2 P is called the midpoint if 1 2 ( , ) ( , ) d P M d M P = .
Image of page 1

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

View Full Document Right Arrow Icon