1-1 - Ch. 1 Linear and quadratic functions 1.1 points and...

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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.

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