3.4 graphing linear equations in standard form

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3.4GraphingLinearEquationsinStandardForm:

Standardformofalinearequationiswrittenas!" + $% = ',1)A,BandCarerealnumbers2)AandBarenotbothzero3)Amustbepositive

HorizontalandVerticalLinesGuidedPractice:

A)Graph% = 3 B)Graph" = −2

GraphinganEquationusingX&Y-interceptsCriticalThinking: WhatdoyouknowaboutanypointontheY-axis?ontheX-axis?GuidedPractice:DeterminetheX-interceptandY-interceptoftheequation:3" + 4% = 12

X-intercept Y-interceptGraphtheequation:PracticeProblems:Graphusingintercepts

1) 5" + 10% = 20 2)8" − 6% = −42

RealWorldProblemYouareplanningapartyatabanquethallforyourschool.Youneedtorenttablestoseat180people.Tablescomeintwosizes;smalltables(x)seat6andlargetables(y)seat10.Writeanequationtorepresentthisinformation.Thengraphtheequation.Equation:X-intercept: Y-Intercept:Whatdoesthistellus?Whataresomepossiblecombinationsoftablesthatcouldbeused?Why?Homework:3,5,7,9,11,13,17,21,23,24,28

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