College Algebra LinC
College Algebra LinC MAC 1105
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This 2 page Class Notes was uploaded by Deshawn Dickens on Thursday October 29, 2015. The Class Notes belongs to MAC 1105 at Valencia College taught by Staff in Fall. Since its upload, it has received 17 views. For similar materials see /class/231223/mac-1105-valencia-college in Calculus and Pre Calculus at Valencia College.
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Date Created: 10/29/15
E UATIONS OF LINES Standard 01 General Form Slope Intercept Form Point Slope Form AxByC Where AB and C are real numbers such that A and B are not both ymxb Where In is the slope and b is the yintercept number yintercept point is 0 b yMmXJ Where In is the slope and xlyl is M point on the line zero Examples Examples 3x 2y 5 y 3x 2 Used for creating equations 7 y x 562 of lines which satisfy 7 35y 3 certain properties x 4 y Ex y2 y2 SLOPE FORMULA Given two points on the line x1y1 and x2 y2 where x1 7E x2 s10 e p Ax ZJ1y2 y2y1 x1x2 x2x1 Example Find the slope of the line which passes through 40 and 3 7 Solution slope 07 71 Ax 4 3 7 OR slope 70 i 3 7 ZERO FACTOR PRINCIPLE AB0 ifandonlyif A0 or 30 A Solving uuadratic bV factoring 1 Write the equation in sz BxC 0 form 2 Factor the nonzero side of the equation 3 Use the zerofactor principle to set each factor equal to zero 4 Solve each resulting linear equation The Quadratic Formula The solutions of the equation sz BxC 0 are BiVBz 4AC 2A B BZ 4AC x BJBZ 4AC 2A 21 x x The Discriminant is B2 4AC the expression underneath the radical Sig Let D represent the Discriminant In other words D B2 4AC 0Ax2 BxC yAx2BxC number and type of solutions number of x intercept points two complex D lt 0 conjugate solutions none D 0 exactly one exactly one real solution it is the vertex D gt 0 exactly two distinct exactly two real solutions
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