Math 1021 Section 2.1

Math 1021 Section 2.1 - 1 2 1 2 ( , ) , 2 2 x x y y M x y +...

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Math 1021 Section 2.1 Rectangular Coordinates The rectangular or Cartesian coordinate system consists of the x-axis, the y-axis and the origin. Any point P can be located by using an ordered pair (x, y) of real numbers. Distance Formula: The distance between two points P 1 = (x 1 , y 1 ) and P 2 = (x 2 , y 2 ), denoted by d(P 1 ,P 2 ) is 2 2 1 2 2 1 2 1 ( , ) ( ) ( ) d P P x x y y = - + - The distance formula comes from the Pythagorean theorem. Midpoint Formula: The midpoint M = (x, y) of the line segment from P 1 = (x 1 , y 1 ) to P 2 = (x 2 , y 2 ) is
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Unformatted text preview: 1 2 1 2 ( , ) , 2 2 x x y y M x y + + = = The midpoint of the line segment between two points is the average of the x and y coordinates. Find the distance between the points and the midpoint of the line segment containing the two points. Plot the points and the midpoint. Ex. 1: P 1 = (4, -3), P 2 = (-6, 0) d x 2- x 1 y 2- y 1 P 1 =(x 1 , y 1 ) P 2 =(x 2 , y 2 ) y x M=(x, y) P 1 =(x 1 , y 1 ) P 2 =(x 2 , y 2 ) y x...
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