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Unformatted text preview: Ch. 1 Linear and quadratic functions
1.1 points and lines
coordinate an ordered pair of numbers associated with a point usually written as (x,y) Quadrant II Quadrant I xaxis
Quadrant III Quadrant IV yaxis
Aug 272:47 PM Linear equations AX + BY = C
Slopeintercept form y = mx + b
The graph of a linear function is a line
Graph by finding the x and yintercepts and then again by using the slopeintercept form. Ex. 2x 3y = 12 Aug 272:54 PM 1 Ex. 2 sketch the graph of 3x + 2y = 18 Aug 272:54 PM Special lines horizontal lines: y = c vertical lines: x = c
Ex. graph y = 5 and x = 4 on the same set of axes. Aug 273:01 PM 2 Graphing simultaneous equations of lines: 3 possibilities 1. same line 2. parallel lines 3. intersecting lines lines Solving simultaneous equations. Ex 1. 3x y = 9 7x 5y = 25 Aug 273:03 PM Ex. 2 2x + 5y = 10 3x + 4y = 12 Aug 273:10 PM 3 Ex. 3 6x + 4y = 8 3x + 2y = 1 No common solution/ parallel lines Ex. 4 6x + 4y = 8 3x + 2y = 4 Infinite many solutions/ same line Aug 273:11 PM Ex. given points A(1,9) and B(4.3) Find the length of segment AB and the midpoint of segment AB. distance formula: (x2 x1)2 + (y2 y1)2
midpoint formula: x1 + x2, y1 + y2 2 2 ( ) Aug 273:17 PM 4 Ex. Given A(2,0) B(0,8) C(4,7) and D(2,1) A. Show AC and BD bisect B. Show AC = BD C. What is this figure? Aug 273:26 PM H.W. p.4 class exercises 110
pp. 56 written exercises 3, 7, 10, 11, 17, 19, 20, 21, 22, 25 use sketches to help when necessary. Aug 273:35 PM 5 ...
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This note was uploaded on 04/22/2011 for the course MATH 212 taught by Professor Owens during the Winter '07 term at Grand Valley State University.
 Winter '07
 Owens
 Trigonometry, Equations, Slope

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